DOCSLIB.ORG

A Study of Symmetries and Phases in Gravity with Application to Holography and Cosmology

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
A Study of Symmetries and Phases in Gravity with Application to Holography and Cosmology A Study of Symmetries and Phases in Gravity with Application to Holography and Cosmology A thesis submitted to Tata Institute of Fundamental Research, Mumbai, India for the degree of Doctor of Philosophy in Physics By Nilay Kundu Department of Theoretical Physics Tata Institute of Fundamental Research Mumbai - 400 005, India September, 2014 (Final Version Submitted in May, 2015) Declaration This thesis is a presentation of my original research work. Wherever contribu- tions of others are involved, every effort is made to indicate this clearly, with due reference to the literature, and acknowledgement of collaborative research and discussions. The work was done under the guidance of Professor Sandip P Trivedi, at the Tata Institute of Fundamental Research, Mumbai. (Nilay Kundu) In my capacity as the supervisor of the candidate’s thesis, I certify that the above statements are true to the best of my knowledge. (Sandip P Trivedi) Acknowledgments Firstly, I am deeply grateful to my thesis supervisor Sandip P Trivedi for his constant support and encouragement. His insights and intuition for Physics has been a great source of learning for me. The lengthy discussion sessions with him, as I believe, were the most enjoyable part of my days as a research scholar at TIFR. His enormous enthusiasm and excitement for research as well as simple but insightful ways of explaining things to students as a teacher has been immensely influential and motivating. I would also like to thank Shiraz Minwalla, Gautam Mandal for many stimulating discussions and also for the wonderful courses they taught. I would also like to thank all the other faculty members of string group for many stimulating discussions and comments. I am grateful to the other faculty members of our department, specifically to Sunil Mukhi, Deepak Dhar, Saumen Datta, Kedar Damle for teaching great courses during my course work at TIFR. I would also like to thank my childhood teachers Mr. Abdul Halim and Pranati Di for all their support and inspirations. I am grateful to Prithvi Narayan, Nilanjan Sircar, Sachin Jain, Rickmoy Samanta and Ashish Shukla for wonderful collaboration and working together. Specifically, I would like to acknowledge the support and advice received from Prithvi Narayan which were very influential to have a smooth start of my research at TIFR. I was also fortunate to have seniors like Jyotirmoy, Satyabrata and Sayantan for their kind help in many ways. Over the years I have stayed at TIFR through all the ups and downs, the theory students room with all its inmates has been the most comfortable place to stay. I would like to thank all the other students in DTP, who were present during the course of my stay, for maintaining such an excellent and lively environment. It was great to come across Debjyoti, Geet, Kusum, Mangesh, Nikhil, Padmanath, Rahul, Ritam, Sambuddha, Tarun, Umesh, Yogesh and also the other friends of mine at TIFR, especially Amaresh, Chandradoy, Kinjalk, Naveen, Pankaj, Sanmay, Sumanta and Vivek. It was great fortune to have them in all the fun during the weekend football, food outside or be it the monsoon treks in Sahyadri. I am also grateful to my friends Manik, Devagnik and Pinaki from my university days at Jadavpur for their support. It would be otherwise incomplete if I don’t admit that I owe a lot to Sudeshna for this and that and mostly for being there all along as a friend. Finally and above all, this thesis owes a lot for its existence to the unconditional support I got from my parents and sister. Undoubtedly, it is my parents, all their sacrifices and compromises in their own lives, along with their encouragement and belief in me, which have driven me to pursue my research. Collaborators This thesis is based on work done in collaboration with several people. The work presented in chapter 2 was done in collaboration with Norihiro Iizuka, • Shamit Kachru, Prithvi Narayan, Nilanjan Sircar and Sandip P. Trivedi and is based on the publication that appeared in print as JHEP 1207 (2012) 193. The work presented in chapter 3 was done in collaboration with Prithvi Narayan, • Nilanjan Sircar and Sandip P. Trivedi and is based on the publication that appeared in print as JHEP 1303 (2013) 155 The work presented in chapter 4 was done in collaboration with Archisman Ghosh, • Suvrat Raju, and Sandip P. Trivedi and is based on the publication that appeared in print as JHEP 1407 (2014) 011. To My Baba and Ma Synopsis Introduction One of the most challenging and conceptually deep problems in theoretical physics, in recent years, has been to understand the quantum nature of gravity. String theory, besides being a consistent and mathematically elegant framework in itself, is considered to be the leading candidate to demystify quantum gravity. It contains a plethora of low energy ground states, usually referred to as the landscape. Each one of these vacua has widely different symmetry properties from others and the low energy excitations around each one of them constitute different phases of the theory. These different phases emerging out of String theory are able to explain the familiar symmetries that play a role in nature. It contains, within its framework, the ingredients to realize, for example, the symmetries of the Standard Model of particle physics. In addition, String theory embodies new and strange symmetries beyond the Standard model, e.g. supersymmetry, which is ubiquitous in it’s construction but is yet to be realized in experiments. Therefore it is of immense importance to study and understand symmetries and phases in general within the framework of String theory. In this thesis we explore various aspects of symmetries and study different phases in a gravity theory to understand some interesting features prevalent in nature around us. In particular, guided by the lessons from such studies in gravity we find their applications to two considerably different areas of physics: strongly coupled field theories and early Universe cosmology. To establish this connection, the main computational technique that we use, follows from the AdS/CF T 1 correspondence in String theory, also known as holography. The AdS/CF T correspondence, also frequently referred to as gauge-gravity duality, is one of the most significant results that String theory has produced. It relates two considerably different theories, a gauge theory without gravity to a quantum theory of gravity living in one higher dimension, see [1] for a review and the references therein. Most importantly, being a strong-weak duality it provides us a powerful computational tool to explore strongly coupled field theories, which are otherwise beyond the scope of perturbative calculation, via tractable Einstein gravity. As a consequence, research in String theory has now found its widespread application in other branches of physics as well, for example, condensed matter 1The abbreviation AdS/CFT stands for anti de-Sitter/conformal field theory. ix Synopsis physics, QCD etc.; see the reviews [2, 3, 4, 5] for connections to condensed matter physics and [6] for QCD related applications. On the other hand, both theoretically and observationally, the physics of our Universe shortly after its birth is by itself a fascinating subject of modern day research. The approximate homogeneity and isotropy at large enough length scales leads us to believe that our Universe at that early stage went through a tiny phase of rapid expansion. In cosmology, theoretical calculations on various toy models come up with predictions that are tested against observations. In view of the abundance of models and lack of any compelling one it is more natural to try to understand model independent features of the early Universe based on symmetry considerations alone. Interestingly, as we will see in this thesis, in some contexts for the study of early Universe the holographic principle happens to be an useful computational tool. In the first part of the thesis, based on [7], we address the question: what kind of phases found in nature can be realized in gravity description. With the help of a symmetry classification for the generalized translational symmetries, named the Bianchi classification, we find possible near horizon gravity solutions, which are homogeneous but not necessarily isotropic, falling into each class. These gravity solutions extend the existing set of a very few solutions known so far on the gravity side and correspond to similar homogeneous but possibly anisotropic phases abundantly observed in condensed matter systems. In the next part of the thesis, based on [8], we run our investigation the other way round and try to understand if phases in gravity are of interest in condensed matter physics. We consider a specific solution in a system of gravity coupled to scalar and gauge fields with a negative cosmological constant. It corresponds to a compressible phase on the field theory side with an unbroken global symmetry at finite chemical potential, e.g. Fermi liquids. We further investigate the existence of a Fermi surface in those phases by looking at its response to turning on a small magnetic field. For that we study an interesting property of the system called entanglement entropy and compute it using holography in the gravity side. In the third and concluding part of this thesis, in [9], we study conformal invariance during inflation, a proposed theoretical mechanism to describe the phase of rapid expansion of our Universe at a very early epoch. The approximate de-Sitter (dS4) spacetime during inflation has symmetries which are same as that of a 3 dimensional Euclidean conformal field theory (CFT) and that imposes non-trivial constraints on the correlation functions of the cosmological perturbations produced at that time. These correlation functions are measured directly in the sky by looking at the anisotropies in the cosmic microwave background (CMB) radiation.
Load more

Recommended publications
  • Annual Report 2013-2014
    ANNUAL REPORT 2013 – 14 One Hundred and Fifth Year Indian Institute of Science Bangalore - 560 012 i ii Contents Page No Page No Preface 5.3 Departmental Seminars and IISc at a glance Colloquia 120 5.4 Visitors 120 1. The Institute 1-3 5.5 Faculty: Other Professional 1.1 Court 1 Services 121 1.2 Council 2 5.6 Outreach 121 1.3 Finance Committee 3 5.7 International Relations Cell 121 1.4 Senate 3 1.5 Faculties 3 6. Continuing Education 123-124 2. Staff 4-18 7. Sponsored Research, Scientific & 2.1 Listing 4 Industrial Consultancy 125-164 2.2 Changes 12 7.1 Centre for Sponsored Schemes 2.3 Awards/Distinctions 12 & Projects 125 7.2 Centre for Scientific & Industrial 3. Students 19-25 Consultancy 155 3.1 Admissions & On Roll 19 7.3 Intellectual Property Cell 162 3.2 SC/ST Students 19 7.4 Society for Innovation & 3.3 Scholarships/Fellowships 19 Development 163 3.4 Assistance Programme 19 7.5 Advanced Bio-residue Energy 3.5 Students Council 19 Technologies Society 164 3.6 Hostels 19 3.7 Award of Medals 19 8. Central Facilities 165-168 3.8 Placement 21 8.1 Infrastructure - Buildings 165 8.2 Activities 166 4. Research and Teaching 26-116 8.2.1 Official Language Unit 166 4.1 Research Highlights 26 8.2.2 SC/ST Cell 166 4.1.1 Biological Sciences 26 8.2.3 Counselling and Support Centre 167 4.1.2 Chemical Sciences 35 8.3 Women’s Cell 167 4.1.3 Electrical Sciences 46 8.4 Public Information Office 167 4.1.4 Mechanical Sciences 57 8.5 Alumni Association 167 4.1.5 Physical & Mathematical Sciences 75 8.6 Professional Societies 168 4.1.6 Centres under Director 91 4.2.
    [Show full text]
  • Kavli IPMU Annual 2014 Report
    ANNUAL REPORT 2014 REPORT ANNUAL April 2014–March 2015 2014–March April Kavli IPMU Kavli Kavli IPMU Annual Report 2014 April 2014–March 2015 CONTENTS FOREWORD 2 1 INTRODUCTION 4 2 NEWS&EVENTS 8 3 ORGANIZATION 10 4 STAFF 14 5 RESEARCHHIGHLIGHTS 20 5.1 Unbiased Bases and Critical Points of a Potential ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙20 5.2 Secondary Polytopes and the Algebra of the Infrared ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙21 5.3 Moduli of Bridgeland Semistable Objects on 3- Folds and Donaldson- Thomas Invariants ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙22 5.4 Leptogenesis Via Axion Oscillations after Inflation ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙23 5.5 Searching for Matter/Antimatter Asymmetry with T2K Experiment ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ 24 5.6 Development of the Belle II Silicon Vertex Detector ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙26 5.7 Search for Physics beyond Standard Model with KamLAND-Zen ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙28 5.8 Chemical Abundance Patterns of the Most Iron-Poor Stars as Probes of the First Stars in the Universe ∙ ∙ ∙ 29 5.9 Measuring Gravitational lensing Using CMB B-mode Polarization by POLARBEAR ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ 30 5.10 The First Galaxy Maps from the SDSS-IV MaNGA Survey ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙32 5.11 Detection of the Possible Companion Star of Supernova 2011dh ∙ ∙ ∙ ∙ ∙ ∙
    [Show full text]
  • IISER Pune Annual Report 2015-16 Chairperson Pune, India Prof
    dm{f©H$ à{VdoXZ Annual Report 2015-16 ¼ããäÌãÓ¾ã ãä¶ã¹ã¥ã †Ìãâ Êãà¾ã „ÞÞã¦ã½ã ½ãÖ¦Ìã ‡ãŠñ †‡ãŠ †ñÔãñ Ìãõ—ãããä¶ã‡ãŠ ÔãâÔ©ãã¶ã ‡ãŠãè Ô©ãã¹ã¶ãã ãä•ãÔã½ãò ‚㦾ãã£ãìãä¶ã‡ãŠ ‚ã¶ãìÔãâ£ãã¶ã Ôããä֦㠂㣾ãã¹ã¶ã †Ìãâ ãäÍãàã¥ã ‡ãŠã ¹ãî¥ãùã Ôãñ †‡ãŠãè‡ãŠÀ¥ã Öãñý ãä•ã—ããÔãã ¦ã©ãã ÀÞã¶ã㦽ã‡ãŠ¦ãã Ôãñ ¾ãì§ãŠ ÔãÌããó§ã½ã Ôã½ãã‡ãŠÊã¶ã㦽ã‡ãŠ ‚㣾ãã¹ã¶ã ‡ãñŠ ½ã㣾ã½ã Ôãñ ½ããõãäÊã‡ãŠ ãäÌã—ãã¶ã ‡ãŠãñ ÀãñÞã‡ãŠ ºã¶ãã¶ããý ÊãÞããèÊãñ †Ìãâ Ôããè½ããÀãäÖ¦ã / ‚ãÔããè½ã ¹ã㟿ã‰ãŠ½ã ¦ã©ãã ‚ã¶ãìÔãâ£ãã¶ã ¹ããäÀ¾ããñ•ã¶ãã‚ããò ‡ãñŠ ½ã㣾ã½ã Ôãñ œãñ›ãè ‚ãã¾ãì ½ãò Öãè ‚ã¶ãìÔãâ£ãã¶ã àãñ¨ã ½ãò ¹ãÆÌãñÍãý Vision & Mission Establish scientific institution of the highest caliber where teaching and education are totally integrated with state-of-the- art research Make learning of basic sciences exciting through excellent integrative teaching driven by curiosity and creativity Entry into research at an early age through a flexible borderless curriculum and research projects Annual Report 2015-16 Governance Correct Citation Board of Governors IISER Pune Annual Report 2015-16 Chairperson Pune, India Prof. T.V. Ramakrishnan (till 03/12/2015) Emeritus Professor of Physics, DAE Homi Bhabha Professor, Department of Physics, Indian Institute of Science, Bengaluru Published by Dr. K. Venkataramanan (from 04/12/2015) Director and President (Engineering and Construction Projects), Dr.
    [Show full text]
  • Academic Report 2009–10
    Academic Report 2009–10 Harish-Chandra Research Institute Chhatnag Road, Jhunsi, Allahabad 211019 Contents About the Institute 2 Director’s Report 4 Governing Council 8 Academic Staff 10 Administrative Staff 14 Academic Report: Mathematics 16 Academic Report: Physics 47 Workshops and Conferences 150 Recent Graduates 151 Publications 152 Preprints 163 About the Computer Section 173 Library 174 Construction Work 176 1 About the Institute Early Years The Harish-Chandra Research Institute is one of the premier research institute in the country. It is an autonomous institute fully funded by the Department of Atomic Energy, Government of India. Till October 10, 2000 the Institute was known as Mehta Research Institute of Mathematics and Mathematical Physics (MRI) after which it was renamed as Harish-Chandra Research Institute (HRI) after the internationally acclaimed mathematician, late Prof Harish-Chandra. The Institute started with efforts of Dr. B. N. Prasad, a mathematician at the University of Allahabad with initial support from the B. S. Mehta Trust, Kolkata. Dr. Prasad was succeeded in January 1966 by Dr. S. R. Sinha, also of Allahabad University. He was followed by Prof. P. L. Bhatnagar as the first formal Director. After an interim period in January 1983, Prof. S. S. Shrikhande joined as the next Director of the Institute. During his tenure the dialogue with the Department of Atomic Energy (DAE) entered into decisive stage and a review committee was constituted by the DAE to examine the Institutes fu- ture. In 1985 N. D. Tiwari, the then Chief Minister of Uttar Pradesh, agreed to provide sufficient land for the Institute and the DAE promised financial sup- port for meeting both the recurring and non-recurring expenditure.
    [Show full text]
  • Summary of Indian Strings Meeting 2007
    Conference Statistics The Talks Summary of Indian Strings Meeting 2007 Sunil Mukhi, TIFR HRI, Allahabad October 15-19 2007 Sunil Mukhi, TIFR Summary of Indian Strings Meeting 2007 Conference Statistics The Talks Outline 1 Conference Statistics 2 The Talks Sunil Mukhi, TIFR Summary of Indian Strings Meeting 2007 There were 3 discussion sessions of 90 minutes each. At four full days (Monday afternoon – Friday lunch) this must be the shortest ISM ever! Conference Statistics The Talks Conference Statistics This conference featured 27 talks: 4 × 90 minutes 23 × 30 minutes Sunil Mukhi, TIFR Summary of Indian Strings Meeting 2007 At four full days (Monday afternoon – Friday lunch) this must be the shortest ISM ever! Conference Statistics The Talks Conference Statistics This conference featured 27 talks: 4 × 90 minutes 23 × 30 minutes There were 3 discussion sessions of 90 minutes each. Sunil Mukhi, TIFR Summary of Indian Strings Meeting 2007 Conference Statistics The Talks Conference Statistics This conference featured 27 talks: 4 × 90 minutes 23 × 30 minutes There were 3 discussion sessions of 90 minutes each. At four full days (Monday afternoon – Friday lunch) this must be the shortest ISM ever! Sunil Mukhi, TIFR Summary of Indian Strings Meeting 2007 IOPB, IMSc and SINP were out for a ! South Zone and East Zone were very scarcely represented. Conference Statistics The Talks The scorecard for the talks was as follows: Institute Faculty Postdocs Students Total HRI 4 3 5 12 TIFR 3 3 2 8 IIT-K 1 0 1 2 Utkal 1 0 0 1 IIT-R 1 0 0 1 IIT-M 0 0 1 1 IACS 0 0 1 1 Kings 1 0 0 1 Total 11 6 10 27 Sunil Mukhi, TIFR Summary of Indian Strings Meeting 2007 South Zone and East Zone were very scarcely represented.
    [Show full text]
  • Aninda Sinha
    CURRICULUM VITAE: Aninda Sinha DOB: 31 March, 1977 Affiliation: Centre for High Energy Physics, Indian Institute of Science, Bangalore 560012, India. Position: Assistant Professor, from December 2010. Phone: +91 80 22932851 Email: [email protected] PROFESSIONAL EXPERIENCE 1. Postdoctoral fellow, Perimeter Institute for Theoretical Physics, Waterloo, Canada, 2007-2010. 2. PPARC postdoctoral fellow and Gonville and Caius college fellow, Cambridge University, UK, 2004- 2007. EDUCATION 1. Don Bosco, Calcutta, 1984-1996. Indian School Certificate. 2. Jadavpur University, Calcutta, 1996-1999. B.Sc., Physics honours (placed first). 3. Cambridge University, UK, 1999-2001. BA, MA, Certificate of Advanced Study in Mathematics{Part III applied mathematics (placed first with distinction); part III essay: Black holes and the AdS/CFT correspondence supervised by Professor Malcolm Perry. 4. Cambridge University, UK, (degree officially conferred 2005). PhD in theoretical physics, advisor Pro- fessor Michael Green, DAMTP. Thesis title: Aspects of IIB plane-wave string theory RESEARCH PUBLICATIONS 1. \On c-theorems in arbitrary dimensions" A. Bhattacharyya, L. -Y. Hung, K. Sen and A. Sinha. arXiv:1207.2333 [hep-th], to appear in PRD. 2. \Quantum corrections to screening at strong coupling" A. Singh and A. Sinha. Nucl. Phys. B 167-189, 864 (2012) arXiv:1204.1817 [hep-th] 3. \Counterterms, critical gravity and holography" K. Sen, A. Sinha and N. V. Suryanarayana. Phys. Rev. D 85, 124017 (2012) arXiv:1201.1288 [hep-th] 4. \Implications of a viscosity bound on black hole accretion" A. Sinha and B. Mukhopadhyay Phys. Lett. B 709, 289 (2012) arXiv:1108.5177 [astro-ph.HE] 5. \AdS/CFT and sQGP" A.
    [Show full text]
  • Current Affairs Q&A
    Current Affairs Q&A PDF This is Paid PDF provided by AffairsCloud.com, Our team is working hard in back end to provide quality PDF. If you not buy this paid PDF subscription plan, we kindly request you to buy pdf to avail this service. Help Us To Grow & Provide Quality Service Subscribe(Buy) Current Affairs PDF 2019 - Pocket, Study and Q&A (English & Hindi) Current Affairs Q&A PDF - September 2019 Table of Contents INDIAN AFFAIRS ................................................................................................................................................................................... 2 INTERNATIONAL AFFAIRS ............................................................................................................................................................ 59 BANKING & FINANCE ....................................................................................................................................................................... 87 ECONOMY & BUSINESS ................................................................................................................................................................. 112 AWARDS & RECOGNITIONS ........................................................................................................................................................ 128 APPOINTMENTS & RESIGNS ....................................................................................................................................................... 154 SCIENCE & TECHNOLOGY ...........................................................................................................................................................
    [Show full text]
  • Mathematical Physics and String Theory
    TIFR Annual Report 2001-02 THEORETICAL PHYSICS String Theory and Mathematical Physics Tachyon Condensation and Black Hole Entropy Condensation of tahcyons in closed string theory was analyzed and its connection with the computation of the black hole entropy was pointed out. The entropy computed in this manner was found to be in precise agreement with the the Bekenstein-Hawking Entropy. [Atish Dabholkar] Tachyon Potential and C-function A tachyon potential with the appropriate critical points was proposed in terms of an effective c-function of the worldsheet theory and it was determined as a solution of certain integrable equations. [Atish Dabholkar and C. Vafa of Harvard University] D-branes in PP-wave Backgrounds Dirichlet branes in the background of a PP wave were constructed and the open string spectrum was in agreement with the gauge theory spectrum. [Atish Dabholkar and Sharoukh Parvizi] Loop Equation and Wilson Line Correlators in Non-commutative Gauge Theories Loop equations for correlators of Wilson line operators in non-commutative gauge theories were derived. Unlike what happens for closed Wilson loops, the joining term survives in the planar equations. This fact was used to obtain a NEW loop equation which relates the correlation function of an arbitrary number of Wilson lines to a set of closed Wilson loops, obtained by joining the individual Wilson lines together by a series of well-defined cutting and joining manipulations. For closed loops, we showed that the non-planar contributions do not have a smooth limit in the limit of vanishing non-commutativity and hence the equations do not reduce to their commutative counterparts [Avinash Dhar and Y.
    [Show full text]
  • Annual Report
    THE INSTITUTE OF MATHEMATICAL SCIENCES C. I. T. Campus, Taramani, Chennai - 600 113. ANNUAL REPORT Apr 2015 - Mar 2016 Telegram: MATSCIENCE Telephone: +91-44-22543100,22541856 Fax:+91-44-22541586 Website: http://www.imsc.res.in/ e-mail: offi[email protected] Foreword The Institute of Mathematical Sciences, Chennai has completed 53 years and I am pleased to present the annual report for 2015-2016 and note the strength of the institute and the distinctive achievements of its members. Our PhD students strength is around 170, and our post-doctoral student strength is presently 59. We are very pleased to note that an increasing number of students in the country are ben- efiting from our outreach programmes (for instance, Enriching Mathematics Education, FACETS 2015, Physics Training and Talent Search Workshop) and we are proud of the efforts of our faculty, both at an individual and at institutional level in this regard. IMSc has started a monograph series last year, with a plan to publish at least one book every year. A book entitled “Problems in the Theory of Modular Forms” as ‘IMSc Lecture Notes - 1’ has been published this year Academic productivity of the members of the Institute has remained high. There were several significant publications reported in national and international journals and our faculty have authored a few books as well. Five students were awarded Ph.D., and three students have submitted their Ph.D. theses. Four students were awarded M.Sc. by Research, and two students have submitted their master’s theses under the supervision of our faculty.
    [Show full text]
  • IISER AR PART I A.Cdr
    dm{f©H$ à{VdoXZ Annual Report 2016-17 ^maVr¶ {dkmZ {ejm Ed§ AZwg§YmZ g§ñWmZ nwUo Indian Institute of Science Education and Research Pune XyaX{e©Vm Ed§ bú` uCƒV‘ j‘Vm Ho$ EH$ Eogo d¡km{ZH$ g§ñWmZ H$s ñWmnZm {Og‘| AË`mYw{ZH$ AZwg§YmZ g{hV AÜ`mnZ Ed§ {ejm nyU©ê$n go EH$sH¥$V hmo& u{Okmgm Am¡a aMZmË‘H$Vm go `wº$ CËH¥$ï> g‘mH$bZmË‘H$ AÜ`mnZ Ho$ ‘mÜ`m‘ go ‘m¡{bH$ {dkmZ Ho$ AÜ``Z H$mo amoMH$ ~ZmZm& ubMrbo Ed§ Agr‘ nmR>çH«$‘ VWm AZwg§YmZ n[a`moOZmAm| Ho$ ‘mÜ`‘ go N>moQ>r Am`w ‘| hr AZwg§YmZ joÌ ‘| àdoe& Vision & Mission uEstablish scientific institution of the highest caliber where teaching and education are totally integrated with state-of-the-art research uMake learning of basic sciences exciting through excellent integrative teaching driven by curiosity and creativity uEntry into research at an early age through a flexible borderless curriculum and research projects Annual Report 2016-17 Correct Citation IISER Pune Annual Report 2016-17, Pune, India Published by Dr. K.N. Ganesh Director Indian Institute of Science Education and Research Pune Dr. Homi J. Bhabha Road Pashan, Pune 411 008, India Telephone: +91 20 2590 8001 Fax: +91 20 2025 1566 Website: www.iiserpune.ac.in Compiled and Edited by Dr. Shanti Kalipatnapu Dr. V.S. Rao Ms. Kranthi Thiyyagura Photo Courtesy IISER Pune Students and Staff © No part of this publication be reproduced without permission from the Director, IISER Pune at the above address Printed by United Multicolour Printers Pvt.
    [Show full text]
  • String Theory and Quantum Gravity
    String Theory and Quantum Gravity Title: 5D Maximally Supersymmetric Yang-Mills on the Lattice ​ Authors: Anosh Joseph Publication: PoS LATTICE2016 220, (2016) ​ Title: Higher Dimensional Generalizations of the SYK Model ​ Authors: Micha Berkooz, Prithvi Narayan, Moshe Rozali, Joan Simón ​ ​ ​ Publication: arXiv:1610.02422 [hep-th] Oct 7, (2016) ​ Title: Conformal Bootstrap in Mellin Space ​ Authors: Rajesh Gopakumar, Apratim Kaviraj, Kallol Sen, Aninda Sinha ​ Publication: arXiv:1609.00572 [hep-th] Jun 28, (2016) ​ Title: Chaotic dynamics of strings in charged black hole backgrounds ​ Authors: Pallab Basu , Pankaj Chaturvedi, Prasant Samantray ​ Publication: arXiv:1606.08711 [hep-th] Jul 15, (2016) ​ Title: Schwinger-Keldysh formalism II: Thermal equivariant cohomology ​ Authors: Felix M. Haehl, R. Loganayagam, Mukund Rangamani ​ ​ ​ Publication: arXiv:1610.01941 [hep-th] Oct 6, (2016) ​ Title: Schwinger-Keldysh formalism I: BRST symmetries and superspace ​ Authors: Felix M. Haehl, R. Loganayagam, Mukund Rangamani ​ ​ ​ Publication: arXiv:1610.01940 [hep-th] Oct 6, (2016) ​ Title: Holographic Entanglement for Chern-Simons Terms ​ Authors: T. Azeyanagi, R. Loganayagam and G. S. Ng ​ ​ ​ Publication: arXiv:1507.02298 [hep-th] ​ Title: A Toy Model of Black Hole Complementarity ​ Authors: Souvik Banerjee, Jan-Willem Bryan, Kyriakos Papadodimas, Suvrat Raju ​ ​ Publication: arXiv:1603.02812 ​ Title: A toy model of black hole complementarity ​ Authors: Souvik Banerjee, Jan-Willem Bryan, Kyriakos Papadodimas, Suvrat Raju ​ ​ Publication: JHEP 1605, 004 (2016) ​ Title: Hairy Black Holes in a Box ​ Authors: Pallab Basu, Chethan Krishnan, P. N. Bala Subramanian (Bangalore, Indian ​ ​ ​ ​ ​ ​ Inst. Sci.) ​ Publication: JHEP (accepted, to appear) ​ Title: Chaotic dynamics of strings in charged black hole backgrounds ​ Authors: Pallab Basu (ICTS, Mumbai), Pankaj Chaturvedi (Indian Inst.
    [Show full text]
  • Star Products from Commutative String Theory
    hep-th/0108072 TIFR/TH/01-28 Star Products from Commutative String Theory Sunil Mukhi Tata Institute of Fundamental Research, Homi Bhabha Rd, Mumbai 400 005, India ABSTRACT A boundary-state computation is performed to obtain derivative corrections to the Chern-Simons coupling between a p-brane and the RR gauge potential Cp−3. We work to quadratic order in the gauge field strength F , but all orders in derivatives. In a certain limit, which requires the presence of a constant B-field background, it is found that these corrections neatly sum up into the product of (commutative) gauge fields. The result ∗2 is in agreement with a recent prediction using noncommutativity. arXiv:hep-th/0108072v1 10 Aug 2001 August 2001 Introduction In a recent paper[1] it was shown that the noncommutative formulation of open-string theory can actually give detailed information about ordinary commutative string theory. Once open Wilson lines are included in the noncommutative action, one has exact equality of commutative and noncommutative actions including all α′ corrections on both sides. As a result, a lot of information about α′ corrections on the commutative side is encoded in the lowest-order term (Chern-Simons or DBI) on the noncommutative side, and can be extracted explicitly. The predictions of Ref.[1] were tested against several boundary-state computations in commutative open-string theory performed in Ref.[2], and impressive agreement was found. The latter calculations were restricted to low-derivative orders, largely because the boundary-state computation becomes rather tedious when we go to high derivative order. However, in some specific cases, particularly when focusing on Chern-Simons couplings in the Seiberg-Witten limit[3], the predictions from noncommutativity in Ref.[1] are simple and elegant to all derivative orders as long as we work with weak field strengths (quadratic order in F ).
    [Show full text]