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Jaydeep Majumder

Curriculum Vitae

Name : Jaydeep Majumder

Date of Birth : June 7, 1972

Nationality : Indian

Designation : Reader-F

Broad Areas of Research : Physical Sciences Specialization : String Theory (Theoretical High Energy Physics)

Research Interest : • Inflation in String Theory • Tachyon Dynamics on Unstable D-branes • Emergence of Time in Quantum Gravity from Equilibrium Statistical Mechanical System • Phenomenological Aspects of Supersymmetry Breaking in KKLT Flux Compactification • Orientifolds of Gepner Models • Stable Non-BPS D-branes

Present Address : School of Physical Sciences, National Institute of Science Education and Research, (NISER), Institute of Physics Campus, Bhubaneswar 751 005, INDIA.

Email : [email protected] [email protected] Jaydeep Majumder

Professional Training

• Post Doctoral Fellow, 2004-2007, Helsinki Institute of Physics, University of Helsinki, Gustaf Hallstr¨ ominkatu¨ 2, 00014 Helsinki, Finland.

• Post Doctoral Fellow, 2001-2004, New High Energy Theory Center, Department of Physics and Astronomy, Rutgers University, NJ 08854, USA

Previous Work Experience

• Assistant Professor, Dept. of Physics, Motilal Nehru National Institute of Technology, (MNNIT), Allahabad 211 004, INDIA. From : 04.02.08 to 29.05.09 Jaydeep Majumder

Educational Qualifications (Brief)

• Ph.D. (Physics), 2002 Supervisor : Prof. Ashoke Sen Institute : Harish-Chandra Research Institute, Formerly, Mehta Research Institute, Allahabad, India. Title of the Thesis : Non-perturbative Aspects of String Theory.

• M.Sc. (Physics), 1996, Division : 1st Class 1st. University : Calcutta University, , India.

• B.Sc. (Honours in Physics), 1994, Division : 1st Class. College : Presidency College, University : Calcutta University, Kolkata, India. Jaydeep Majumder

Educational Qualifications (Full)

Name of the Name of the Year of Subject Marks Rank/ Exams./Degrees Institution Passing (aggregate) Divn./Class (i) Secondary Hindu School, 1989 All of 88.1% 1st. division Kolkata, India basic sciences and humanities (ii) Higher Hindu School, 1991 Physics, Chemistry 88 % 1st. division; Secondary Kolkata, India Mathematics, rank : 15th. Statistics, Bengali, English (iii) B.Sc.(Hons.) Presidency College, 1994 Physics(Hons.) 70.4 % 1st. class Kolkata, India Mathematics and Statistics (Pass), English (iv) M.Sc.(Physics) University of 1996 80.8 % 1st. class 1st Calcutta, Physics Kolkata, India (v) Ph.D.(Physics) Harish-Chandra 2001 String Not Not Research Institute, Theory Applicable Applicable Allahabad 211019 and Thesis : Nonperturbative Allahabad University, Aspects of India String Theory Supervisor : Prof. Ashoke Sen (vi) Postdoctoral Rutgers University, NJ, Sept., 2001- Not Not Fellow USA Sept., 2004 Applicable Applicable (High Energy Physics Group) (vii) Postdoctoral Helsinki Institute Oct., 2004- Not Not Fellow of Physics, Finland December, Applicable Applicable (High Energy 2007 Physics Group) Jaydeep Majumder

Awards, Prizes & Honours

A1. Awarded by the Govt. of West Bengal for standing 15th. in the Higher Secondary Examination, 1991 conducted by West Bengal Higher Secondary Council.

A2. Honoured for standing 1st. Class 1st. in the M.Sc.(Physics) Exam. in 1996 in the University of Calcutta, India(Gold Medal to be awarded).

A3. Visiting senior research fellow at the International Centre for Theoretical Physics(ICTP), Trieste, Italy, March - June, 1999.

A4. Visiting senior research fellow at the Summer School on ’String Theory and M Theory’, Carg’ese, France, June- July, 1999.

A5. Visiting senior research fellow at the Dept. of Theoretical Physics, Tata Institute of Fundamental Research(TIFR), May- June, 2000.

A6. Awarded Post doctoral fellowship in NHETC, Dept. of Physics, Rutgers University, NJ USA in 2001.

A7. Awarded Post doctoral fellowship in Helsinki Institute of Physics, Finland in 2004.

A8. Visiting Fellow and invited speaker at the conference “Cosmology, Strings and Black Holes”, organized by Niels Bohr Institute and NORDITA, Copenhagen, Denmark, April 18-21, 2006.

A9. Visiting Fellow, Dept. of Physics, David Rittenhouse Laboratory, University of Penn- sylvania, Philadelphia, PA 19104, May 9-24, 2006. Jaydeep Majumder

Teaching Experience

Duration Organisation Area

3 Lectures MNNIT, Allahabad, Classical Electrodynamics and 2 Tutorials India in PHY-II for B.Tech. per week 1st Year students (each of 1 hr. duration) Feb.–April, 2008 18 hours of Lab. MNNIT, Allahabad, B. Tech 1st Year Laboratory per month India in PHY-II Feb. –April, 2008 3 Lectures MNNIT, Allahabad, Special Relativity, Polarization and 3 Tutorials India of Light, Holography in PHYS-I per week for B.Tech. 1st Year students (each of 1 hr. duration) July–Nov., 2008 3 Lectures MNNIT, Allahabad, Vector analysis, Electrostatics, and 1 Tutorial India Electric Currents and Time Varying per week Fields in PHY-II (each of 1 hr. duration) for B.Tech. 1st Year students Jan.–May., 2009 30 hours of Lab. MNNIT, Allahabad, B. Tech 1st Year Laboratory per month India in PHY-I Jan. –May, 2009 10 Lectures Dept. of Physics, Statistical Physics I (each of 2 hrs.) University of Helsinki, (For advanced undergraduates) Spring 2007 FIN-00014, Helsinki, Finland 13 Lectures Dept. of Physics, An Introduction to (each of 2 hrs. University of Jyvaskyl¨ a,¨ String Theory duration) FIN-40014, Finland (For advanced undergraduates, June and August, beginning graduate students) 2005(Starting June 7th.) 3 Lectures Workshop organised Vector Analysis and (each of 2 hrs. by HRI and Univ. of Complex analysis with duration) Allahabad for giving application to Electrostatics and Summer, 1998 courses to the University Electrodynamics and college teachers from Uttar Pradesh, India Jaydeep Majumder

Courses Taught

Course No. Level Books Number Developed & (UG/PG) Followed† of by Title Times you? An Introduction to Advanced Green-Schwarz- 1 Partially String Theory undergraduates -Witten, Vol. I and beginning & II and graduates Polchinski, Vol. I & II

Statistical Physics I Beginning Pathria & 1 Partially Graduates Landau-Lifshitz, Vol. I

Magnetism in B.Tech. Griffiths & 1 Partially Matter 1st. Year(2nd sem.) Feynman Lectures, undergraduates Vol. 2 Special Theory of B.Tech. Resnick, 1 Partially Relativity 1st. Year(1st. sem.) Griffiths & undergraduates Feynman Lectures, Vol. 1 Electricity & B.Tech. Griffiths 1 Partially Magnetism 1st. Year(2nd. sem.) & undergraduates Feynman Lectures, Vol. II Theory of B.Tech. Ghatak, 1 Partially Polarization of 1st Year(1st sem.) Hecht & Light and undergraduates Feynman Lectures, Holography Vol. 1 Vector analysis, Electrostatics, B.Tech. Griffiths & 1 Partially Electric Currents and 1st. Year(2nd sem.) Feynman Lectures, Time-varying fields undergraduates Vol. 2

†Book Details

B1. Superstring Theory, Vol. 1 & 2, Green, Schwarz, Witten (Cambridge University Press, UK).

B2. String Theory, Vol. 1 & 2, Joseph Polchinski (Cambridge University Press, UK).

B3. Statistical Mechanics, 2nd Edition : R. K. Pathria (Butterworth-Heineman).

B4. Statistical Physics(Courses of Theoretical Physics), Vol. 1 ; Landau and Lifshitz (Butterworth-Heineman). Jaydeep Majumder

B5. Introduction to Electrodynamics; D. J. Griffiths; 3rd edition (Prentice-Hall).

B6. Feynman Lectures in Physics, Vol. 1 & 2; Feynman, Leighton and Sands (Addison- Wesley).

B7. An Introduction to Special Theory of Relativity; R. Resnick( Wiley Interscience).

B8. Optics; Ajoy Ghatak; 4th Edition (Tata McGraw-Hill, 2008).

B9. Optics; Eugene Hecht; 4th Edition (Addison-Wesley, 2001). Jaydeep Majumder

Computational Skills

CS1. Expertise in numerical computations using high level scientific computational pro- grams like MATHEMATICA, MAPLE along with the packages Ricci, LiE, Cartan, TTC, EinS and GRTENSOR.

CS2. Expertise in Fortran 77 programming.

CS3. Thorough knowledge of different Operating Systems — Linux(different distributions like Debian, Ubuntu, Suse, Fedora, Mandrake), BSD(FreeBSD, PCBSD), Mac OS X, Solaris and Windows 95,98, Me, 2000, XP and Vista.

CS4. Thorough knowledge of LATEX , html, graphics packages like GIMP, Photoshop, Xfig and presentation tools like Powerpoint, Keynote and Openoffice.

CS5. Expertise in setting up Wiki and FTP server for distant collaboration.

CS6. Expertise in video conferencing tools like NetMeeting and GnomeMeeting.

CS7. Basic knowledge of networking in Linux/Unix/Mac OS X environments. Jaydeep Majumder

Co-Guidance to Ph.D. outside India

Serial No. Name of Year of Titles of Main No. of papers the Students Ph.D. the Thesis Supervisor written Completion together

1 Niko Jokela 2008 Rolling Tachyons, Dr. Esko 5 (Defended on : Random Matrices Keski-Vakkuri May 19, 2008) and Coulomb Gas Thermodynamics

Guidance to Ph.D. in India

Serial No. Name of Expected Year of Titles of No. of papers the Students Ph.D. the Thesis written with Date of Completion (Tentative) together Joining (Till now)

1. Sumat Kumar, 2013 Aspects of Inflationary 0 MNNIT, Alld. Cosmology in Reg. No. 2008rph02 String Theory (Date Joined: January, 2009) Jaydeep Majumder

List of Publications

( Names of the authors appear in the papers according to alphabetical ordering of their last names except the paper 12.)

 1. ‘Blowing up’ D-branes on Non-Supersymmetric Cycles ; Jaydeep Majumder and Ashoke Sen JHEP 09 (1999) 004; [hep-th/9906109].

 2. Vortex Pair Creation on Brane-Antibrane Pair via Marginal Deformation; Jaydeep Majumder and Ashoke Sen JHEP 06 (2000) 010; [hep-th/0003124].

 3. Non-BPS D-branes on a Calabi-Yau Orbifold; Jaydeep Majumder and Ashoke Sen JHEP 09 (2000) 047; [hep-th/0007158].

4. Type IIA Orientifold Limit of M-Theory on Compact Joyce 8-Manifold of Spin(7)- Holonomy; Jaydeep Majumder JHEP 01 (2002) 048; [hep-th/0109076].

5. Orientifolds of type IIA strings on Calabi-Yau manifolds; Suresh Govindarajan and Jaydeep Majumder; PASCOS 2003 talk. Pramana 62 (2004) 711-716; [hep-th/0305108].

 6. Crosscaps in Gepner Models and Type IIA Orientifolds; Suresh Govindarajan and Jaydeep Majumder. JHEP 0402 (2004) 026; [hep-th/0306257].

 7. On Superstring Disk Amplitudes in Rolling Tachyon Background; Niko Jokela, Esko Keski-Vakkuri and Jaydeep Majumder; Phys. Rev. D 73 046007 (2006); [hep-th/0510261]. Jaydeep Majumder

8. Fractional Branes on Non-compact Type IIA Orientifolds; Jaydeep Majumder, Subir Mukhopadhyay and Koushik Ray. JHEP 11 (2006) 008; [hep-th/0602135].

 9. A Thermodynamic Interpretation of Time for Rolling Tachyons; Vijay Balasubramanian, Niko Jokela, Esko Keski-Vakkuri, Jaydeep Majumder. Phys. Rev. D 75 063515 (2007); [hep-th/0612090].

 10. Disk Partition Function and Oscillatory Rolling Tachyons; Niko Jokela, Matti Jarvinen,¨ Esko Keski-Vakkuri, Jaydeep Majumder. J. Phys. A: Math. Theor. 41 (2008) 015402. [arXiv: 0705.1916 (hep-th)]

 11. Timelike Boundary Sine-Gordon Theory and Two-Component Plasma; Niko Jokela, Esko Keski-Vakkuri, Jaydeep Majumder. Phys. Rev. D 77 023523 (2008); [arXiv:0709.1318 (hep-th)].

 12. Disorder on the landscape∗; Dmitry Podolsky, Jaydeep Majumder and Niko Jokela. JCAP 05 (2008) 024; [arXiv:0804.2263 (hep-th)].

∗The names of the authors of this paper have been arranged according to their contribution. Jaydeep Majumder

List of Publications Appeared in Proceedings

P1. Non-BPS D-branes on a Calabi-Yau orbifold(Based on the paper by Jaydeep Ma- jumder and Ashoke Sen [hep-th/0007158] (Appeared in ‘Clay Mathematics Proceedings’ series; STRINGS 2001, Edited by: Atish Dabholkar, Sunil Mukhi, and Spenta R. Wadia, Pub- lished by American Mathematical Society, 2002. ISBN 0-8218-2981-5).

P2. A Thermodynamic Interpretation of Time for Rolling Tachyon by Vijay Balasub- ramanian, Niko Jokela, Esko Keski-Vakkuri and Jaydeep Majumder. ( Appeared in the proceedings of the conference Cosmology, Strings and Black Holes, organiized by NORDITA and Niles Bohr Institute, Copenhagen, April 18-21, 2006).

List of Publications Appeared in Online Proceedings

PO1. Orientifolds of Type IIA Strings on Calabi-Yau Manifolds by Jaydeep Majumder and Suresh Govindarajan.(Appeared in the online proceedings of IX-th. International Symposium on Particles, Strings and Cosmology, PASCOS 2003.) Online Address : http://theory.theory.tifr.res.in/ pascos/. Forthcoming Publications

 FP1. Dynamics of the Inflaton Field in Warped D-brane Inflationary Model in String The- ory; N. Jokela, Jaydeep Majumder, and D. Podolsky; (Work in progress).

 FP2. A note on Inhomogeneous Rolling Tachyon on D-D¯ System, Jaydeep Majumder; To appear. Jaydeep Majumder

Recently given Talks

T1. ”Disoroder on the Landscape”, January 05, 2009, Theory Group, Saha Institute of Nu- clear Physics(SINP), Kolkata, India.

T2. ”Disoroder on the Landscape”, June 13, 2008, Monsoon Workshop on String Theory, TIFR, , India, June 2 – August 8, 2008.

T3. “Inflationary Universe and String Theory”, Dec. 5, 2007, Dept. of Theoretical Physics, Indian Association for the Cultivation of Science(IACS), Kolkata, India.

T4. “Inflationary Universe and String Theory”, Dec. 3, 2007, Dept. of Physics, S. N. Bose National Centre for Basic Sciences, Kolkata, India.

T5. “String Theory : Where Do We Stand?”, Nov. 28, 2007, Dept. of Physics, IISER, Kolkata, India.

T6. “Inflationary Universe and String Theory”, Nov. 27, 2007, Bose Institute, Kolkata, In- dia.

T7. “Inflationary Universe and String Theory”, Nov. 24, 2007, Dept. of Physics, IISER Mohali, Chandigarh, India.

T8. “Inflationary Universe and String Theory”, Nov. 23, 2007, School of Physical Sciences, Jawaharlal Nehru University(JNU), , India.

T9. “Inflationary Universe and String Theory”, Nov. 22, 2007, Centre for Theoretical Physics, Jamia Milia Islamia University, New Delhi, India.

T10. “Inflationary Universe and String Theory”, Nov. 16, 2007, Dept. of Physics, IIT Kan- pur, India.

T11. “Inflationary Universe and String Theory”, Nov. 14, 2007, Dept. of Physics, IISER Pune, India.

T12. “Inflationary Universe and String Theory”, Nov. 12, 2007, Dept. of Physics, IIT Bom- bay, Mumbai, India.

T13. “Recent Advancements in the Computations of Degeneracy of Dyonic States in String Theory”, Oct. 23, 2007 at the Helsinki Institute of Physics, University of Helsinki, Finland. Jaydeep Majumder

T14. “A Thermodynamic Interpretation of Time for Rolling Tachyons”, Dec. 27, 2006 at the Black Hole Meeting, Saha Institute of Nuclear Physics(SINP), Kolkata, India.

T15. “A Thermodynamic Interpretation of Time for Rolling Tachyons”, Dec. 20, 2006 at the Institute of Physics, Bhubaneswar, India.

T16. “A Thermodynamic Interpretation of Time for Rolling Tachyon”, April 18-21, 2006, in Cosmology, Strings and Black Holes, NORDITA/NBI, Copenhagen.

T17. “Description of Four Dimensional World from String Theory”, January 18, 2006, Abo˚ Akademi, Turku, Finland.

T18. “Crosscaps in Gepner Models and Orientifolds of Type IIA Theory”, September 16, 2005, Harish-Chandra Research Institute, Allahabad, India.

T19. “Studies in Four dimensional Theories with Unoriented Strings”, September 14, 2005, Indian Institute of Technology, Kanpur, India.

T20. “Aspects of Four Dimensional Physics with Unoriented Strings”. September 12, 2005, Centre for High Energy Physics, IISc. Bangalore, India.

T21. “Studies in Four dimensional Theories with Unoriented Strings”, September 9, 2005, Indian Institute of Technology, Mumbai, India.

T22. “Studies in Four dimensional Theories with Unoriented Strings”, September 6, 2005, Dept. of Physics, University of Delhi, India.

T23. “Studies in Four dimensional Theories with Unoriented Strings”, September 5, 2005, Indian Institute of Technology, Roorkee, India.

T24. “Flux Compactification in String Theory – I & II”, February 8, 2005, Helsinki Institute of Physics, Finland.

T25. “An Introduction to Flux Compactification in String Theory”, January 2005, Indian Association for the Cultivation of Science(IACS), Kolkata, India.

T26. “Crosscaps in Gepner Models”, January 11, 2005, IACS, Kolkata, India. Jaydeep Majumder

Recently Visited Institutes/Universities

V1. Theory Group, Saha Institute of Nuclear Physics(SINP), Kolkata, India(January 05-06, 2009).

V2. Dept. of Theoretical Physics, Tata Institute of Fundamental Research(TIFR), Mumbai, India.(June 2 – June 15, 2008).

V3. Dept. of Physics, David Rittenhouse Laboratory, University of Pennsylvania, Philadel- phia, PA 19104, USA.(May 9 -24, 2006).

V4. Niels Bohr Institute & NORDITA, Copenhagen, Denmark.(April 18-21, 2006).

V5. International Centre for Theoretical Physics(ICTP), Trieste, Italy, July 9-31, 2007. Jaydeep Majumder

Conference and School Attended

C1. Spring School on Superstring theory, ICTP, Trieste, 1999.

C2. Extended Workshop on String Theory, ICTP, Trieste, 1999.

C3. Summer School on ‘String and M Theory’, Cargese,´ France, 1999

C4. Millenium Meeting on String Theory, Bangalore, India; Jan 3 - 7, 2000. Title of the talk : ‘Blowing up’ D-branes on Non-supersymmetric Cycles.

C5. STRINGS 2001 held at Tata Institute of Fundamental Research, Mumbai, India. Title of the talk : Non-BPS D-branes on a Calabi-Yau Orbifold.

C6. Workshop on String Theory, Dec.2002, held at Harish-Chandra Research Institute,Allahabad, India.

C7. Nordic String Meeting, Nov.18-20, 2004, Department of Theoretical Physics, University of Uppsala.

C8. ISM 2004, Workshop on String Theory, Dec.15-23, 2004, Indian Strings Meeting, KHAJURAHO, India.

C9. One Day Conference on Recent Advances in String Theory, Jan. 11, 2005, Indian Asso- ciation for the Cultivation of Science, Kolkata, India.

C10. String Cosmology Workshop, Department of Theoretical Phyics, Uppsala, Sweden, April 25-28, 2005.

C11. STRINGS 2005, University of Toronto, Canada, July 11-16, 2005.

C12. The 20th. Nordic String Meeting, 27-28th. October, 2005, Helsinki, Finland

C13. Cosmology, Strings and Black Holes, Copenhagen, April 18–21, 2006, organized by NORDITA. (Speaker).

C14. STRINGS 2006, June 19–24, 2006, Beijing, China.

C15. ISM06 : Indian Strings Meeting, December 12-19, 2006, PURI, INDIA.

C16. Finnish-Japanese Workshop on Particle Cosmology, organized by University of Helsinki and Helsinki Institute of Physics, Finland, March 8-9, 2007. Jaydeep Majumder

C17. STRINGS 2007, June 25-29, 2007, Madrid, Spain.

C18. Workshop on Cosmology and Strings, July 9-13, 2007, ICTP, Trieste, Italy.

C19. Monsoon Workshop on String Theory, Tata Institute of Fundamental Research(TIFR), India, June 2 – August 8, 2008. [Participated from June 2 – June 15, 2008]. Jaydeep Majumder

Details of Visits outside India

F1. Spring School on Superstring theory, ICTP, Trieste, 1999.

F2. Extended Workshop on String Theory, ICTP, Trieste, 1999.

F3. Summer School on ‘String and M Theroy’, Cargese, France, 1999.

F4. Invited Speaker : Winter 2000 : Title of the Talk : Marginal Deformation and Creation of Codimension >2 Solitons on Brane-Antibrane Pair..

• Dept. of Physics, Stanford University and Stanford Linear Accelerator Center, USA, • Kavli Institute of Theoretical Physics, Santa Barbara, USA. • Dept.of Physics, California Institute of Technology, USA. • Dept. of Physics, Ohio State University, USA. • Dept. of Physics, Harvard University, USA. • Dept. of Physics, , USA. • International Centre for Theoretical Physics(ICTP), Trieste, Italy,

F5. Nordic String Meeting, Nov.18-20, 2004, Department of Theoretical Physics, University of Uppsala, Sweden.

F6. String Cosmology Workshop, Department of Theoretical Phyics, University of Upp- sala, Sweden, April 25-28, 2005.

F7. STRINGS 2005, University of Toronto, Canada, July 11-16, 2005.

F8. The 20th. Nordic String Meeting, 27-28th. October, 2005, Helsinki, Finland

F9. “Cosmology, Strings and Black Holes”, Copenhagen, Denmark, April 18–21, 2006, or- ganized by Niels Bohr Institute and NORDITA. (Speaker).

F10. STRINGS 2006, June 19–24, 2006, Beijing, China.

F11. STRINGS 2007, June 25-29, 2007, Madrid, Spain.

F12. Workshop on Cosmology and Strings, July 9-13, 2007, ICTP, Trieste, Italy. Jaydeep Majumder

Invited Talks I. National

TN1. Millenium Meeting on String Theory, Bangalore, India; Jan 3 - 7, 2000. Title of the talk : ‘Blowing up’ D-branes on Non-supersymmetric Cycles.

TN2. “Crosscaps in Gepner Models”, January 11, 2005, Indian Association for the Cultiva- tion of Science(IACS), Kolkata, India.

TN3. “Studies in Four dimensional Theories with Unoriented Strings”, September 5, 2005, Indian Institute of Technology, Roorkee, India.

TN4. “Studies in Four dimensional Theories with Unoriented Strings”, September 9, 2005, Indian Institute of Technology, Mumbai, India.

TN5. “Aspects of Four Dimensional Physics with Unoriented Strings”. September 12, 2005, Centre for High Energy Physics, IISc. Bangalore, India.

TN6. “Studies in Four dimensional Theories with Unoriented Strings”, September 14, 2005, Indian Institute of Technology, Kanpur, India.

TN7. “Crosscaps in Gepner Models and Orientifolds of Type IIA Theory”, September 16, 2005, Harish-Chandra Research Institute, Allahabad, India.

TN8. “A Thermodynamic Interpretation of Time for Rolling Tachyons”, Dec. 20, 2006 at the Institute of Physics, Bhubaneswar, India.

TN9. “A Thermodynamic Interpretation of Time for Rolling Tachyons”, Dec. 27, 2006 at the Black Hole Meeting, Saha Institute of Nuclear Physics(SINP), Kolkata, India.

TN10. “Inflationary Universe and String Theory”, Nov. 12, 2007, Dept. of Physics, IIT Bom- bay, Mumbai, India.

TN11. “Inflationary Universe and String Theory”, Nov. 14, 2007, Dept. of Physics, IISER Pune, India.

TN12. “Inflationary Universe and String Theory”, Nov. 16, 2007, Dept. of Physics, IIT Kan- pur, India.

TN13. “Inflationary Universe and String Theory”, Nov. 22, 2007, Centre for Theoretical Physics, Jamia Milia Islamia University, New Delhi, India. Jaydeep Majumder

TN14. “Inflationary Universe and String Theory”, Nov. 23, 2007, School of Physical Sciences, Jawaharlal Nehru University(JNU), New Delhi, India.

TN15. “Inflationary Universe and String Theory”, Nov. 24, 2007, Dept. of Physics, IISER Mohali, Chandigarh, India.

TN16. “Inflationary Universe and String Theory”, Nov. 27, 2007, Bose Institute, Kolkata, In- dia.

TN17. “String Theory : Where Do We Stand?”, Nov. 28, 2007, Dept. of Physics, IISER, Kolkata, India.

TN18. “Inflationary Universe and String Theory”, Dec. 3, 2007, Dept. of Physics, S. N. Bose National Centre for Basic Sciences, Kolkata, India.

TN19. “Inflationary Universe and String Theory”, Dec. 5, 2007, Dept. of Theoretical Physics, Indian Asscociation for the Cultivation of Science(IACS), Kolkata, India.

TN20. ”Disoroder on the Landscape”, June 13, 2008, Monsoon Workshop on String Theory, TIFR, Mumbai, India, June 2 – August 8, 2008.

TN21. ”Disoroder on the Landscape”, January 05, 2009, Theory Group, Saha Institute of Nu- clear Physics(SINP), Kolkata, India. Jaydeep Majumder

II. International

TI1. Dept. of Physics, Stanford University and Stanford Linear Accelerator Center, USA,

TI2. Kavli Institute of Theoretical Physics, Santa Barbara, USA.

TI3. Dept.of Physics, California Institute of Technology, USA.

TI4. Dept. of Physics, Ohio State University, USA.

TI5. Dept. of Physics, Harvard University, USA.

TI6. Dept. of Physics, Princeton University, USA.

TI7. International Centre for Theoretical Physics(ICTP), Trieste, Italy. (Title of the Talk in all the above places : Marginal Deformation and Creation of Codimension >2 Solitons on Brane-Antibrane Pair..)

TI8. STRINGS 2001 held at Tata Institute of Fundamental Research, Mumbai, India. Title of the talk : Non-BPS D-branes on a Calabi-Yau Orbifold.

TI9. “Cosmology, Strings and Black Holes”, 2006, held at NORDITA and Niels Bohr Insti- tute, Copenhagen, Denmark. Title of the Talk : A Thermodynamic Interpretation of Time for Rolling Tachyon.

TI10. Guest Lecturer at the Abo˚ Akademi, Turku, Finland. Title of Talk : “Description of Four Dimensional World from String Theory”, January 18, 2006. Jaydeep Majumder

Research Summary The work of my Ph.D. is based on the construction of stable non-BPS D-branes using the mechanism of tachyon condensation within first quantized string theory and various other aspects a` la Sen. It has been shown that in certain region of moduli space of K3, one gets stable con- figuration of D-branes wrapped on certain nonsupersymmetric cycles of K3. In particular, in the orbifold limit of K3, these configurations can be described by exact boundary confor- mal field theory[1]. In my first paper with Sen[2], we studied the effect of switching on the nongeometric blow up modes corresponding to B-field flux(or Aspinwall flux) through the 2-cycles on those D-branes. We determined the region of moduli space where these D-branes are stable in the first order of the blow up parameter and found that across the boundary of this region, the D-brane wrapped on the nonsupersymmetric cycle decays to a pair of D-branes, each wrapped on a supersymmetric cycle, via a second order phase transition. After the discovery of the mechanism of tachyon condensation by Sen, Witten showed that the K-theory is the correct mathematical framework for describing the phenomena of getting all the lower dimensional BPS and non-BPS D-branes by condensing tachyonic soli- tons of various codimensions on a bunch of D9-D¯9-pairs(in type IIB theory) or a bunch of non-BPS D9-branes(in type IIA theory)[3]. The exact conformal field theory describing a codimension one tachyonic soliton was already known[4]. For codimension = q > 1 soli- tons, it was conjectured that such a soliton on a Dp-D¯p-brane pair represents a D(p − q)- brane. Witten gave an ansatz for the higher codimension solitions in his K-theory paper. In my second paper with Sen[5], we established these results explicitly for codimension two solitons(vortex/antivortex) by first identifying a series of marginal deformations which cre- ate the vortex-antivortex pair on the brane-antibrane system and then showing that under this series of marginal deformations the original D-brane-anti-D-brane system becomes a D- brane-anti-D-brane system with two lower dimension. Then we generalised this result for all possible higher codimension(even and odd) solitons. In my third paper with Sen[6], we applied the construction of our previous paper to a particular example. We considered a system containing a pair of non-BPS D-strings of type IIA string theory on an orbifold, representing a single D2-brane wrapped on a nonsuper- symmetric 2-cycle of a Calabi-Yau 3-fold with (h(1,1), h(1,2)) = (11, 11). We found the region of stability in the moduli space for this configuration and showed that beyond this region of stability the system decays to pair of non-BPS D3-branes. We also found that only at one point on the boundary of this region, a marginal deformation exists which connects the sys- tem of non-BPS D-strings to the system of non-BPS D3-branes. Across any other point on the boundary of the region of stability, the transition from the system of non-BPS D-strings Jaydeep Majumder to the system of non-BPS D3-branes is first order. In my fourth paper[8], I dealt with a completely different subject. Motivated by a paper of Kachru and Mcgreevy[7], I show that M-theory compactified on a compact Joyce 8-manifold of Spin(7)-holonomy, which yields an effective theory in D = 3 with N = 1 supersymmetry, admits at some special points in it moduli space a description in terms of type IIA theory on an orientifold of compact Joyce 7-manifold of G2-holonomy. We find the evidence in favour of this duality by computing the massless spectra on both M-thory side and type IIA side. For the latter, we compute the massless spectra by going to the orbifold limit of the Joyce 7-manifold. In my fifth and sixth papers with S. Govindarajan[9, 10], we study the orientifolds of Calabi-Yau manifold from purely algebraic conformal field theoretic point of view. The result of this paper was briefly discussed in ref.[10], based on PASCOS 2003 talk, given by one of us. In fact, as a first step to a detailed study of orientifolds of Gepner models associated with Calabi-Yau manifolds, we construct crosscap states associated with anti- holomorphic involutions (with fixed points) of Calabi-Yau manifolds. We argue that these orientifolds are dual to M-theory compactifications on (singular) seven-manifolds with G2 holonomy. Using the spacetime picture as well as the M-theory dual, we discuss aspects of the orientifold that should be obtained in the Gepner model. This is illustrated for the case of the quintic. In my seventh paper with Niko Jokela and Esko Keski-Vakkuri[11], we study the tree level scattering or emission of N closed superstrings from a decaying non-BPS brane in Type II superstring theory. We attempt to calculate generic N-point superstring disk amplitudes in the rolling tachyon background. We show that these can be written as infinite power series of Toeplitz determinants, related to expectation values of a periodic function in Circular Uni- tary Ensembles. Further analytical progress is possible in the special case of bulk-boundary disk amplitudes. These are interpreted as probability amplitudes for emission of a closed string with initial conditions perturbed by the addition of an open string vertex operator. This calculation has been performed previously in bosonic string theory, here we extend the analysis for superstrings. We obtain a result for the average energy of closed superstrings produced in the perturbed background. In my eighth paper with Subir Mukhopadhyay and Koushik Ray[12], We study frac- 3 tional D-branes in the Type-IIA theory on a non-compact orientifold of the orbifold C /Z3 in the boundary state formalism. We find that the fractional D0-branes of the orbifold theory become unstable due to the presence of a tachyon, while there is a stable D-instanton whose tachyon gets projected out. We propose that the D-instanton is obtained after tachyon con- densation. We evidence this by calculating the Whitehead group of the Abelian category of Jaydeep Majumder

objects corresponding to the boundary states as being isomorphic to Z2. In my ninth paper with Vijay Balasubramanian, Niko Jokela and Esko Keski-Vakkuri[13], we show that the open string worldsheet description of brane decay (discussing a specific example of a rolling tachyon background) can be related to a sequence of points of thermo- dynamic equilibrium of a grand canonical ensemble of point charges on a circle, the Dyson gas. Subsequent instants of time are related to neighboring values of the chemical potential or the average particle number N¯. The free energy of the system decreases in the direction of larger N¯ or later times, thus defining a thermodynamic arrow of time. Time evolution equa- tions are mapped to differential equations relating thermal expectation values of certain ob- servables at different points of thermal equilibrium. This suggests some lessons concerning emergence of time from an underlying microscopic structure in which the concept of time is absent. In my tenth paper, we addressed the question of interpreting in BCFT language the ex- act rolling tachyon solutions in Witten’s open string field theory(OSFT ), found by Kiermaier et al.[14] and Schnabl[15]. With Niko Jokela, Matti Jarvinen¨ and Esko Keski-Vakkuri[16], we argue that the oscillatory solution found by those authors, can be related by a field redefini- tion to the simple exponential rolling tachyon deformation of boundary conformal theory. In the latter approach, the disk partition function takes a simple form. Out of curiosity, we compute the disk partition function for an oscillatory tachyon profile, and find that the result is nevertheless almost the same. In my eleventh paper with Niko Jokela and Esko Keski-Vakkuri[17], we continued our study of rolling tachyons describing decaying D-branes that we started in [13]. It has long been known that there is a relation between boundary sine-Gordon theory and thermody- namics of charge neutral two-component Coulomb plasma on a unit circle. On the other hand, in ref.[13], we found that open string worldsheet description of brane decay can be re- lated to a sequence of points of thermodynamic equilibrium of one-component plasma. Here we consider a different decay process which is specifically described by the timelike bound- ary sine-Gordon theory. We find time evolution to be mapped to a one-dimensional curve in the space of points of thermal equilibrium of a non-neutral two-component Coulomb plasma. We compute the free energy of the system and find that along the curve it is monotonously decreasing, defining a thermodynamic arrow of time. The next paper deals with the problem of getting a viable model of inflationary cosmol- ogy from String Theory. In my twelfth paper with Dmitry Podolsky and Niko Jokela[18], we proposed a dynamical mechanism for obtaining small cosmological constant from the vast landscape of stringy vacua within the context of flux compactification, borroughing an idea from condensed matter physics, viz. Anderson localization. We show that Disorder on the Jaydeep Majumder string theory landscape may significantly affect dynamics of eternal inflation leading to the possibility for some vacua on the landscape to become dynamically preferable over others. We systematically study effects of a generic disorder on the landscape starting by identifying a sector with built-in disorder – a set of de Sitter vacua corresponding to compactifications of the Type IIB string theory on Calabi-Yau manifolds with a number of warped Klebanov- Strassler throats attached randomly to the bulk part of the Calabi-Yau. Further, we derive continuum limit of the vacuum dynamics equations on the landscape. Using methods of dynamical renormalization group we determine the late time behavior of the probability distribution for an observer to measure a given value of the cosmological constant. We find the diffusion of the probability distribution to significantly slow down in sectors of the land- scape where the number of nearest neighboring vacua for any given vacuum is small. We discuss relation of this slow-down with phenomenon of Anderson localization in disordered media.

References

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[2] J. Majumder and A. Sen, “‘Blowing up’ D-branes on Non-supersymmetric Cycles”, JHEP 09 (1999) 004; [hep-th/9906109].

[3] E. Witten, “D-branes and K-theory,” JHEP 12 (1998) 019 [hep-th/9810188].

[4] A. Sen, “SO(32) Spinors of Type I and Other Solitons on Brane-Antibrane Pair,” JHEP 09 (1998) 023, [hep-th/9808141].

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[8] J. Majumder; “Type IIA Orientifold Limit of M-Theory on Compact Joyce 8- Manifold of Spin(7)-Holonomy”; JHEP 01(2002) 048; [hep-th/0109076]. Jaydeep Majumder

[9] S. Govindarajan and J. Majumder; “Crosscaps in Gepner Models and Type IIA Ori- entifolds”; JHEP 0402 (2004) 026; [hep-th/0306257].

[10] S. Govindarajan and J. Majumder; “Orientifolds of type IIA strings on Calabi-Yau manifolds”; PASCOS 2003 TALK; Pramana 62 (2004) 711-716; [hep-th/0305108].

[11] N. Jokela, E. Kesko-Vakkuri and J. Majumder; “On Superstring Disk Amplitudes in a Rolling Tachyon Background”; Phys. Rev. D 73 046007 (2006); [hep-th/0510261].

[12] J. Majumder, S. Mukhopadhyay and K. Ray, “Fractional branes in non-compact type IIA orientifolds,” JHEP 11 (2006) 008; [hep-th/0602135].

[13] V. Balasubramanian, N. Jokela, E. Keski-Vakkuri and J. Majumder, “A Thermo- dynamic Interpretation of Time for Rolling Tachyons,” Phys. Rev. D 75 063515 (2007). [arXiv:hep-th/0612090].

[14] M. Kiermaier, Y. Okawa, L. Rastelli and B. Zwiebach, “Analytic solutions for marginal deformations in open string field theory,” [arXiv:hep-th/0701249].

[15] M. Schnabl, “Comments on marginal deformations in open string field theory,” [arXiv:hep-th/0701248].

[16] N. Jokela, M. Jarvinen,¨ E. Keski-Vakkuri and Jaydeep Majumder, “Disk Partition Function and Oscillatory Rolling Tachyons,” J. Phys. A: Math. Theor. 41 (2008) 015402, [arXiv:0705.1916 (hep-th)]

[17] N. Jokela, E. Keski-Vakkuri and Jaydeep Majumder, “Timelike Boundary Sine- Gordon Theory and Two-Component Plasma.” Phys. Rev. D 77 023523 (2008); [arXiv:0709.1318 (hep-th)].

[18] D. Podolsky, Jaydeep Majumder and N. Jokela, “Disorder on the landscape.” JCAP 05 (2008) 024; [arXiv:0804.2263 (hep-th)].