DOCSLIB.ORG

Black Holes, Holography and Strings Harvard University Department Of

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Black Holes, Holography and Strings Harvard University Department Of Black Holes, Holography and Strings A Celebration of the Science of Andrew Strominger Harvard University Department of Physics July 30­31, 2015 Black Holes, Holography and Strings July 30­31, 2015 Main Page About Andy Talks Directions Hotel Information Contacts (Photo: H. Ooguri) This conference aims to bring together a diverse group of physicists and educators whose career paths have intersected with Andy's and who share his passion for Physics. In addition to talks scheduled for Thursday, July 30 and Friday, July 31, there will be a banquet on Thursday evening. Please see the conference schedule for more details. S. Pasterski July 30, 2015 1 / 9 O 1 i) Weinberg – photon ( ω ) O 1 ii) Weinberg – graviton ( ω ) iii) Cachazo & Strominger – graviton O(1) Soft Factors Memories Symmetries (global) (asymptotic) i) Li´enard-Wiechert / Bieri & Garfinkle i) e-charge large U(1) ii) Zeldovich & Polnarev / Christodoulou ii) pµ supertranslations iii) Pasterski, Strominger, & Zhiboedov iii) J µν superrotations July 30, 2015 2 / 9 1 Radiation Memory)4 Az Measurable observable: ∂zΦIII ∂zΦII Finite energy flux i + Massive charges Propagating to r >> rs ∂zΦI + I Radiation u 1 I Far-field r n fall-offs i 0 I = 0@u !±1 = 0 generic u Large r observer 6 - du... = 0 I 6 R i - S. Pasterski July 30, 2015 3 / 9 Consistency of fall-off conditions allowing radiation , local on S2 shift in baseline value of O Radiation Memory – Symmetry)4 Az ∂zΦIII ∂zΦII Memory 1 du frad (u) i + ⌘ Massive charges 1 ∂zΦI I measure finite net effect + R 2 I Radiation u I observer anywhere on S i 0 u O(u) du0 f (u0) u0 rad Large r observer ⌘ I - I Mem = O(u ) O(u ) s.t. f (u )=0 Reff f − i rad i,f u = How long should I wait? i - f 6 1 u = Did something happen before? i 6 1 S. Pasterski July 30, 2015 4 / 9 Radiation Memory – Symmetry)4 Az ∂zΦIII ∂zΦII Memory 1 du frad (u) i + ⌘ Massive charges 1 ∂zΦI I measure finite net effect + R 2 I Radiation u I observer anywhere on S i 0 u O(u) du0 f (u0) u0 rad Large r observer ⌘ I - I Mem = O(u ) O(u ) s.t. f (u )=0 Reff f − i rad i,f u = How long should I wait? i - f 6 1 u = Did something happen before? i 6 1 Consistency of fall-off conditions allowing radiation , local on S2 shift in baseline value of O S. Pasterski July 30, 2015 4 / 9 Long-time integration at large distances probes low frequencies at the same angle Radiation Memory – Soft)4 Factor Az ∂zΦIII ∂zΦII Memory 1 du frad (u) i + ⌘ 1 Massive charges I measure finite net effect ∂zΦI + R 2 I Radiation I observer anywhere on S u i 0 1 du... lim Large r observer $ ! 0 - 1 ! I I ex. F.T. takes step function pole R ! i - iq x i!u i!r(1 xˆ qˆ) e · = e− − − · xˆ = qˆ 3 $ d q 1 ↵ ~ iq x I µ(x)=e (2⇡)3 2! ["µ⇤a↵(q)e · + h.c.] A ↵= q ± P R S. Pasterski July 30, 2015 5 / 9 Radiation Memory – Soft)4 Factor Az ∂zΦIII ∂zΦII Memory 1 du frad (u) i + ⌘ 1 Massive charges I measure finite net effect ∂zΦI + R 2 I Radiation I observer anywhere on S u i 0 1 du... lim Large r observer $ ! 0 - 1 ! I I ex. F.T. takes step function pole R ! i - iq x i!u i!r(1 xˆ qˆ) e · = e− − − · xˆ = qˆ 3 $ d q 1 ↵ ~ iq x I µ(x)=e (2⇡)3 2! ["µ⇤a↵(q)e · + h.c.] A ↵= q ± P R Long-time integration at large distances probes low frequencies at the same angle S. Pasterski July 30, 2015 5 / 9 Details Soft Factor – Symmetries null infinity I relevant leading radial behavior of ,g Aµ µ⌫ I ex. Bondi Gauge and BMS as ASG for asymptotically flat spacetimes 2 2 2 mB 2 iφ ✓ 2 ds = du 2dudr + 2r γ ¯dzdz¯ + 2 du z = e tan γ ¯ = − − zz r 2 zz (1 + zz¯)2 2 z 1 4 1 zz + rCzz dz + D Czz dudz + ( Nz @z (Czz C ))dudz + c.c. + ... r 3 − 4 I order of limits and stationary phase constraint equations expectation value S. Pasterski July 30, 2015 6 / 9 Details Soft Factor – Symmetries null infinity constraint equations I first-order in @u e.o.m’s ⌫ 2 ⌫µ = e jµ r F z¯ z 2 ju @uAu = @u(D Az¯ + D Az )+e ju M ) Gµ⌫ = 8⇡GTµ⌫ 1 2 zz 2 z¯z¯ G @umB = @u D C + D C Tuu uu 4 z z¯ − ) 3 zz @¯G @ G ¯ Im[@z¯D C ]=⇥ 2Im[@u@z¯Nz +⇤@z¯Tuz ] z uz − z uz ) z I m = 0 scatterers + symmetric in/out radiation + in/out matching -matrix Ward identities )S expectation value S. Pasterski July 30, 2015 6 / 9 Details Soft Factor – Symmetries null infinity constraint equations expectation value (0) (1) I use soft behavior out a (q) in = S − + S − out in + (!) h | − S| i h |S| i O and constraint equations to get observables⇣ (memory⌘ effects) with: out : mem : in mem in out h | O S | i hO i| ! ⇠ out in h |S| i I ex. E&M soft factor and mode expansion: (0) p "± µ e + (0)+ S ± = eQ · p = mγ(1, β~) ∆A = "ˆ⇤ !S p p q z −4⇡ z agree with constraint:· e z + (0)+ z¯ (0) 2 Q 1 − lim ![D "ˆz⇤ Sp + D "ˆz⇤¯ Sp ]= e −4⇡ ! 0 − 4⇡ γ2(1 β~ nˆ)2 ! − · I When m = 0, view constraint eq. as giving A in terms of free data 6 u A . But A Coulomb field, set by in out. z u , ! S. Pasterski July 30, 2015 6 / 9 2 I arbitrary S dependence from boosted monopoles vs. higher multipole of localized static configuration 2 I CFT M on S at of lightcone from origin and 2 ⇢ 4 in/out \ I I Superrotation extension of BMS ASG I Freedom to Lorentz transform jet directions (RPI) versus angular momentum flux causing observer rotation (Spin Memory) Applications BH hair? M4 holography? SCET? S. Pasterski July 30, 2015 7 / 9 Applications BH hair? 2 I arbitrary S dependence from boosted monopoles vs. higher multipole of localized static configuration M4 holography? 2 I CFT M on S at of lightcone from origin and 2 ⇢ 4 in/out \ I I Superrotation extension of BMS ASG SCET? I Freedom to Lorentz transform jet directions (RPI) versus angular momentum flux causing observer rotation (Spin Memory) S. Pasterski July 30, 2015 7 / 9 Spin Memory Subleading graviton soft factor related to Jµ⌫ µ⌫ λ (1) pkµ"− q Jk⌫ I S − = i − pk q Xk · I subleading du... vs. du@ ... $ u Superrotation vectorR fields allowR local CKVs + +z u +z I ⇠ + = Y @z + Dz Y @u + c.c. |I 2 2 I can locally match to different ⇤ near a set of points on the S Spin Memory Effect I chiral observable projects out transitions associated with supertranslations I rotation of geodesic ring, or in fixed-z frame cumulative delay of + 1 z z¯ counterrotating beams: ∆ u = du D C dz + D C¯¯dz¯ 2⇡L zz zz Z IC S. Pasterski July 30, 2015 8 / 9 S. Pasterski July 30, 2015 9 / 9 Black Holes, Holography, and Strings A Celebration of the Science of Andrew Strominger Harvard University Department of Physics July 30 & 31, 2015 www THURSDAY, JULY 30 REGISTRATION AND CONTINENTAL BREAKFAST 8:00 AM REGISTRATION | LYMAN LOBBY CONTINENTAL BREAKFAST | JEFFERSON LIBRARY 9:00 – 9:10 AM WELCOME | JEFFERSON 250 Opening remarks by Stephen Shenker (Stanford) MORNING LECTURES | JEFFERSON 250 Session Chair: Michael Green (Cambridge) 9:10 – 9:50 AM Bell Inequalities and Cosmological Correlators by Juan Maldacena (IAS) 9:50 – 10:30 AM Chaos in the Black Hole S-Matrix by Joe Polchinski (KITP) 10:30 – 11:00 AM COFFEE BREAK | JEFFERSON LIBRARY Session Chair: Raphael Bousso (Berkeley) 11:00 – 11:40 PM Black Holes and Moonshine by Jeff Harvey (Chicago) 11:40 – 12:20 PM A Membrane Paradigm at Large D by Shiraz Minwalla (TIFR) LUNCH 12:20 – 2:20 PM BBQ LUNCH | JEFFERSON COURTYARD AFTERNOON LECTURES | JEFFERSON 250 Session Chair: Igor Klebanov (Princeton) 2:20 – 3:00 PM Sailing into a Black Hole with Andy by Steve Giddings (UCSB) 3:00 – 3:30 PM COFFEE BREAK | JEFFERSON LIBRARY 3:30 – 5:00 PM STUDENT TALKS | JEFFERSON 250 Session Chair: Hirosi Ooguri (Caltech) TBA by Dionysis Anninos (IAS) Causality and the Conformal Bootstrap A by Thomas Hartman (Cornell) 3D Gravity and String Universality by Alexander Maloney (McGill) Holographic Entanglement for Chern-Simons Terms by Gim Seng Ng (McGill) Dr. Strominger or: How I Learned to Stop Worrying (about singular CKVs) and Love the Triangle by Sabrina Pasterski (Harvard) Supersymmetry Constraints on String Dynamics by Xi Yin (Harvard) EVENING BANQUET | KNAFEL CENTER, 10 GARDEN ST. 6:30 – 10:00 PM COCKTAIL RECEPTION AND BANQUET: Dress Code: ‘Physics casual’ Black Holes, Holography, and Strings A Celebration of the Science of Andrew Strominger Harvard University Department of Physics July 30 & 31, 2015 www FRIDAY, JULY 31 CONTINENTAL BREAKFAST 8:00 AM CONTINENTAL BREAKFAST | JEFFERSON LIBRARY MORNING LECTURES | JEFFERSON 250 Session Chair: David Morrison (UC Santa Barbara) 9:00 – 9:40 AM F-theory and 5d Spinning Black Holes by Cumrun Vafa (Harvard) 9:40 – 10:20 AM Measuring the Elliptic Genus by Greg Moore (Rutgers) 10:20 – 10:50 AM COFFEE BREAK | JEFFERSON LIBRARY Session Chair: Herman Verlinde (Princeton) 10:50 – 11:30 AM Anomalies, Conformal Manifolds, and Spheres by Nathan Seiberg (IAS) 11:30 – 12:10 PM Gravity Dual of Information Metric by Tadashi Takayanagi (Kyoto & IPMU) LUNCH 12:10 – 2:00 PM BUFFET LUNCH | JEFFERSON LIBRARY AFTERNOON LECTURES | JEFFERSON 250 Session Chair: Erik Verlinde (Amsterdam) 2:00 – 2:40 PM The Higher Spin Square by Rajesh Gopakumar (ICTS Bangalore) 2:40 – 3:20 PM Towards Emergent Time by Nima Arkani-Hamed (IAS) 3:20 – 3:50 PM COFFEE BREAK | JEFFERSON LIBRARY Session Chair: Robbert Dijkgraff (IAS) 3:50 – 4:30 PM Fun with Fermions by Frederik Denef (Columbia) 4:30 – 5:10 PM An Extremal Black Hole Surprise by Gary Horowitz (UCSB) Additional Information Extra Collaboration Space: Jefferson 453 and HETG Lounge Late Registrations: Jefferson 453 Wireless Networks: “eduroam” or “Harvard Guest” Useful Phone Numbers: Cambridge Taxi Cab (617) 649-7000 Cambridge Taxi (617) 718 - 4000 .
Load more

Recommended publications
  • Stephen Hawking (1942–2018) World-Renowned Physicist Who Defied the Odds
    COMMENT OBITUARY Stephen Hawking (1942–2018) World-renowned physicist who defied the odds. hen Stephen Hawking was speech synthesizer processed his words and diagnosed with motor-neuron generated the androidal accent that became disease at the age of 21, it wasn’t his trademark. In this way, he completed his Wclear that he would finish his PhD. Against best-selling book A Brief History of Time all expectations, he lived on for 55 years, (Bantam, 1988), which propelled him to becoming one of the world’s most celebrated celebrity status. IAN BERRY/MAGNUM scientists. Had Hawking achieved equal distinction Hawking, who died on 14 March 2018, was in any other branch of science besides cos- born in Oxford, UK, in 1942 to a medical- mology, it probably would not have had the researcher father and a philosophy-graduate same resonance with a worldwide public. As mother. After attending St Albans School I put it in The Telegraph newspaper in 2007, near London, he earned a first-class degree “the concept of an imprisoned mind roaming in physics from the University of Oxford. He the cosmos” grabbed people’s imagination. began his research career in 1962, enrolling In 1965, Stephen married Jane Wilde. as a graduate student in a group at the Uni- After 25 years of marriage, and three versity of Cambridge led by one of the fathers children, the strain of Stephen’s illness of modern cosmology, Dennis Sciama. and of sharing their home with a team of The general theory of relativity was at that nurses became too much and they sepa- time undergoing a renaissance, initiated in rated, divorcing in 1995.
    [Show full text]
  • CERN Celebrates Discoveries
    INTERNATIONAL JOURNAL OF HIGH-ENERGY PHYSICS CERN COURIER VOLUME 43 NUMBER 10 DECEMBER 2003 CERN celebrates discoveries NEW PARTICLES NETWORKS SPAIN Protons make pentaquarks p5 Measuring the digital divide pl7 Particle physics thrives p30 16 KPH impact 113 KPH impact series VISyN High Voltage Power Supplies When the objective is to measure the almost immeasurable, the VISyN-Series is the detector power supply of choice. These multi-output, card based high voltage power supplies are stable, predictable, and versatile. VISyN is now manufactured by Universal High Voltage, a world leader in high voltage power supplies, whose products are in use in every national laboratory. For worldwide sales and service, contact the VISyN product group at Universal High Voltage. Universal High Voltage Your High Voltage Power Partner 57 Commerce Drive, Brookfield CT 06804 USA « (203) 740-8555 • Fax (203) 740-9555 www.universalhv.com Covering current developments in high- energy physics and related fields worldwide CERN Courier (ISSN 0304-288X) is distributed to member state governments, institutes and laboratories affiliated with CERN, and to their personnel. It is published monthly, except for January and August, in English and French editions. The views expressed are CERN not necessarily those of the CERN management. Editor Christine Sutton CERN, 1211 Geneva 23, Switzerland E-mail: [email protected] Fax:+41 (22) 782 1906 Web: cerncourier.com COURIER Advisory Board R Landua (Chairman), P Sphicas, K Potter, E Lillest0l, C Detraz, H Hoffmann, R Bailey
    [Show full text]
  • M5-Branes, D4-Branes and Quantum 5D Super-Yang-Mills
    CERN-PH-TH/2010-294 KCL-MTH-10-17 M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills N. Lambert a,∗,† , C. Papageorgakis b,‡ and M. Schmidt-Sommerfeld a,§ aTheory Division, CERN 1211 Geneva 23, Switzerland bDepartment of Mathematics, King’s College London The Strand, London WC2R 2LS, UK Abstract We revisit the relation of the six-dimensional (2, 0) M5-brane Conformal Field Theory compactified on S1 to 5D maximally supersymmetric Yang-Mills Gauge Theory. We show that in the broken phase 5D super-Yang-Mills contains a arXiv:1012.2882v3 [hep-th] 22 Feb 2011 spectrum of soliton states that can be identified with the complete Kaluza-Klein modes of an M2-brane ending on the M5-branes. This provides evidence that the (2, 0) theory on S1 is equivalent to 5D super-Yang-Mills with no additional UV degrees of freedom, suggesting that the latter is in fact a well-defined quantum theory and possibly finite. ∗On leave of absence from King’s College London. †E-mail address: [email protected] ‡E-mail address: [email protected] §E-mail address: [email protected] 1 Introduction Multiple M5-branes are believed to be described at low energies by a novel, interacting, strongly coupled, 6D CFT with (2, 0) supersymmetry. Very little is known about such a theory and it is not expected to have a Lagrangian description. According to the type IIA/M-theory duality it arises as the strong-coupling, UV fixed-point of multiple D4-branes whose dynamics are obtained from open string theory.
    [Show full text]
  • Supergravity at 40: Reflections and Perspectives(∗)
    RIVISTA DEL NUOVO CIMENTO Vol. 40, N. 6 2017 DOI 10.1393/ncr/i2017-10136-6 ∗ Supergravity at 40: Reflections and perspectives( ) S. Ferrara(1)(2)(3)andA. Sagnotti(4) (1) Theoretical Physics Department, CERN CH - 1211 Geneva 23, Switzerland (2) INFN - Laboratori Nazionali di Frascati - Via Enrico Fermi 40 I-00044 Frascati (RM), Italy (3) Department of Physics and Astronomy, Mani L. Bhaumik Institute for Theoretical Physics U.C.L.A., Los Angeles CA 90095-1547, USA (4) Scuola Normale Superiore e INFN - Piazza dei Cavalieri 7, I-56126 Pisa, Italy received 15 February 2017 Dedicated to John H. Schwarz on the occasion of his 75th birthday Summary. — The fortieth anniversary of the original construction of Supergravity provides an opportunity to combine some reminiscences of its early days with an assessment of its impact on the quest for a quantum theory of gravity. 280 1. Introduction 280 2. The early times 282 3. The golden age 283 4. Supergravity and particle physics 284 5. Supergravity and string theory 286 6. Branes and M-theory 287 7. Supergravity and the AdS/CFT correspondence 288 8. Conclusions and perspectives ∗ ( ) Based in part on the talk delivered by S.F. at the “Special Session of the DISCRETE2016 Symposium and the Leopold Infeld Colloquium”, in Warsaw, on December 1 2016, and on a joint CERN Courier article. c Societ`a Italiana di Fisica 279 280 S. FERRARA and A. SAGNOTTI 1. – Introduction The year 2016 marked the fortieth anniversary of the discovery of Supergravity (SGR) [1], an extension of Einstein’s General Relativity [2] (GR) where Supersymme- try, promoted to a gauge symmetry, accompanies general coordinate transformations.
    [Show full text]
  • Round Table Talk: Conversation with Nathan Seiberg
    Round Table Talk: Conversation with Nathan Seiberg Nathan Seiberg Professor, the School of Natural Sciences, The Institute for Advanced Study Hirosi Ooguri Kavli IPMU Principal Investigator Yuji Tachikawa Kavli IPMU Professor Ooguri: Over the past few decades, there have been remarkable developments in quantum eld theory and string theory, and you have made signicant contributions to them. There are many ideas and techniques that have been named Hirosi Ooguri Nathan Seiberg Yuji Tachikawa after you, such as the Seiberg duality in 4d N=1 theories, the two of you, the Director, the rest of about supersymmetry. You started Seiberg-Witten solutions to 4d N=2 the faculty and postdocs, and the to work on supersymmetry almost theories, the Seiberg-Witten map administrative staff have gone out immediately or maybe a year after of noncommutative gauge theories, of their way to help me and to make you went to the Institute, is that right? the Seiberg bound in the Liouville the visit successful and productive – Seiberg: Almost immediately. I theory, the Moore-Seiberg equations it is quite amazing. I don’t remember remember studying supersymmetry in conformal eld theory, the Afeck- being treated like this, so I’m very during the 1982/83 Christmas break. Dine-Seiberg superpotential, the thankful and embarrassed. Ooguri: So, you changed the direction Intriligator-Seiberg-Shih metastable Ooguri: Thank you for your kind of your research completely after supersymmetry breaking, and many words. arriving the Institute. I understand more. Each one of them has marked You received your Ph.D. at the that, at the Weizmann, you were important steps in our progress.
    [Show full text]
  • Electric-Magnetic Duality, Matrices, & Emergent Spacetime
    Electric-Magnetic Duality, Matrices, & Emergent Spacetime Shyamoli Chaudhuri1 1312 Oak Drive Blacksburg, VA 24060 Abstract This is a rough transcript of talks given at the Workshop on Groups & Algebras in M Theory at Rutgers University, May 31–Jun 04, 2005. We review the basic motivation for a pre-geometric formulation of nonperturbative String/M theory, and for an underlying eleven- dimensional electric-magnetic duality, based on our current understanding of the String/M Duality Web. We explain the concept of an emerging spacetime geometry in the large N limit of a U(N) flavor matrix Lagrangian, distinguishing our proposal from generic proposals for quantum geometry, and explaining why it can incorporate curved spacetime backgrounds. We assess the significance of the extended symmetry algebra of the matrix Lagrangian, raising the question of whether our goal should be a duality covariant, or merely duality invariant, Lagrangian. We explain the conjectured isomorphism between the O(1/N) corrections in any given large N scaling limit of the matrix Lagrangian, and the corresponding α′ corrections in a string effective Lagrangian describing some weak-coupling limit of the String/M Duality Web. arXiv:hep-th/0507116v4 23 Aug 2005 1Based on talks given at the Workshop on Groups & Algebras in M Theory, Rutgers University, May 31–Jun 04, 2005. Email: [email protected] 1 Introduction Understanding the symmetry principles and the fundamental degrees of freedom in terms of which nonperturbative String/M theory is formulated is a problem of outstanding importance in theoretical high energy physics. The Rutgers Mathematics workshop on Groups & Algebras in M Theory this summer devoted part of its schedule to an assessment of the significance of Lorentzian Kac-Moody algebras to recent conjectures for the symmetry algebra of String/M theory.
    [Show full text]
  • Is String Theory Holographic? 1 Introduction
    Holography and large-N Dualities Is String Theory Holographic? Lukas Hahn 1 Introduction1 2 Classical Strings and Black Holes2 3 The Strominger-Vafa Construction3 3.1 AdS/CFT for the D1/D5 System......................3 3.2 The Instanton Moduli Space.........................6 3.3 The Elliptic Genus.............................. 10 1 Introduction The holographic principle [1] is based on the idea that there is a limit on information content of spacetime regions. For a given volume V bounded by an area A, the state of maximal entropy corresponds to the largest black hole that can fit inside V . This entropy bound is specified by the Bekenstein-Hawking entropy A S ≤ S = (1.1) BH 4G and the goings-on in the relevant spacetime region are encoded on "holographic screens". The aim of these notes is to discuss one of the many aspects of the question in the title, namely: "Is this feature of the holographic principle realized in string theory (and if so, how)?". In order to adress this question we start with an heuristic account of how string like objects are related to black holes and how to compare their entropies. This second section is exclusively based on [2] and will lead to a key insight, the need to consider BPS states, which allows for a more precise treatment. The most fully understood example is 1 a bound state of D-branes that appeared in the original article on the topic [3]. The third section is an attempt to review this construction from a point of view that highlights the role of AdS/CFT [4,5].
    [Show full text]
  • Soft Hair on Black Holes Arxiv:1601.00921V1 [Hep-Th] 5 Jan
    Soft Hair on Black Holes Stephen W. Hawkingy, Malcolm J. Perryy and Andrew Strominger∗ yDAMTP, Centre for Mathematical Sciences, University of Cambridge, Cambridge, CB3 0WA UK ∗ Center for the Fundamental Laws of Nature, Harvard University, Cambridge, MA 02138, USA Abstract It has recently been shown that BMS supertranslation symmetries imply an infinite number of conservation laws for all gravitational theories in asymptotically Minkowskian spacetimes. These laws require black holes to carry a large amount of soft (i:e: zero- energy) supertranslation hair. The presence of a Maxwell field similarly implies soft electric hair. This paper gives an explicit description of soft hair in terms of soft gravitons or photons on the black hole horizon, and shows that complete information about their quantum state is stored on a holographic plate at the future boundary of the horizon. Charge conservation is used to give an infinite number of exact relations between the evaporation products of black holes which have different soft hair but are otherwise identical. It is further argued that soft hair which is spatially localized to arXiv:1601.00921v1 [hep-th] 5 Jan 2016 much less than a Planck length cannot be excited in a physically realizable process, giving an effective number of soft degrees of freedom proportional to the horizon area in Planck units. Contents 1 Introduction 1 2 Electromagnetic conservation laws and soft symmetries 4 3 Conservation laws in the presence of black holes 7 4 Black hole evaporation 9 5 Quantum hair implants 12 6 Gauge invariance 14 7 Supertranslations 15 8 Conclusion 17 1 Introduction Forty years ago, one of the authors argued [1] that information is destroyed when a black hole is formed and subsequently evaporates [2, 3].
    [Show full text]
  • MATTERS of GRAVITY Contents
    MATTERS OF GRAVITY The newsletter of the Division of Gravitational Physics of the American Physical Society Number 52 December 2018 Contents DGRAV News: we hear that . , by David Garfinkle ..................... 3 APS April Meeting, by David Garfinkle ................... 4 Editor David Garfinkle Department of Physics Oakland University Rochester, MI 48309 Phone: (248) 370-3411 Internet: garfinkl-at-oakland.edu WWW: http://www.oakland.edu/physics/Faculty/david-garfinkle Associate Editor Greg Comer Department of Physics and Center for Fluids at All Scales, St. Louis University, St. Louis, MO 63103 Phone: (314) 977-8432 Internet: comergl-at-slu.edu WWW: http://www.slu.edu/arts-and-sciences/physics/faculty/comer-greg.php ISSN: 1527-3431 DISCLAIMER: The opinions expressed in the articles of this newsletter represent the views of the authors and are not necessarily the views of APS. The articles in this newsletter are not peer reviewed. 1 Editorial The next newsletter is due June 2019. Issues 28-52 are available on the web at https://files.oakland.edu/users/garfinkl/web/mog/ All issues before number 28 are available at http://www.phys.lsu.edu/mog Any ideas for topics that should be covered by the newsletter should be emailed to me, or Greg Comer, or the relevant correspondent. Any comments/questions/complaints about the newsletter should be emailed to me. A hardcopy of the newsletter is distributed free of charge to the members of the APS Division of Gravitational Physics upon request (the default distribution form is via the web) to the secretary of the Division. It is considered a lack of etiquette to ask me to mail you hard copies of the newsletter unless you have exhausted all your resources to get your copy otherwise.
    [Show full text]
  • A View from the Bridge Natalie Paquette
    INFERENCE / Vol. 3, No. 4 A View from the Bridge Natalie Paquette tring theory is a quantum theory of gravity.1 Albert example, supersymmetric theories require particles to Einstein’s theory of general relativity emerges natu- come in pairs. For every bosonic particle there is a fermi- rally from its equations.2 The result is consistent in onic superpartner. Sthe sense that its calculations do not diverge to infinity. Supersymmetric field theory has a disheartening String theory may well be the only consistent quantum impediment. Suppose that a supersymmetric quantum theory of gravity. If true, this would be a considerable field theory is defined on a generic curved manifold. The virtue. Whether it is true or not, string theory is indis- Euclidean metric of Newtonian physics and the Lorentz putably the source of profound ideas in mathematics.3 metric of special relativity are replaced by the manifold’s This is distinctly odd. A line of influence has always run own metric. Supercharges correspond to conserved Killing from mathematics to physics. When Einstein struggled spinors. Solutions to the Killing spinor equations are plen- to express general relativity, he found the tools that he tiful in a flat space, but the equations become extremely needed had been created sixty years before by Bernhard restrictive on curved manifolds. They are so restrictive Riemann. The example is typical. Mathematicians discov- that they have, in general, no solutions. Promoting a flat ered group theory long before physicists began using it. In supersymmetric field theory to a generic curved mani- the case of string theory, it is often the other way around.
    [Show full text]
  • Mathematisches Forschungsinstitut Oberwolfach Geometry, Quantum
    Mathematisches Forschungsinstitut Oberwolfach Report No. 25/2010 DOI: 10.4171/OWR/2010/25 Geometry, Quantum Fields, and Strings: Categorial Aspects Organised by Peter Bouwknegt, Canberra Dan Freed, Austin Christoph Schweigert, Hamburg June 6th – June 12th, 2010 Abstract. Currently, in the interaction between string theory, quantum field theory and topology, there is an increased use of category-theoretic methods. Independent developments (e.g. the categorificiation of knot invariants, bun- dle gerbes and topological field theories on extended cobordism categories) have put higher categories in the focus. The workshop has brought together researchers working on diverse prob- lems in which categorical ideas play a significant role. Mathematics Subject Classification (2000): 81T, in particular 81T45 and 81T13. Introduction by the Organisers The workshop Geometry, Quantum Fields, and Strings: Categorial Aspects, organ- ised by Peter Bouwknegt (Australian National University, Canberra), Dan Freed (University of Texas, Austin), and Christoph Schweigert (University of Hamburg) was held June 6th–June 12th, 2010. The meeting was attended by 52 participants from all continents. 18 talks of one hour each were contributed to the workshop. Moreover, young researchers were offered the possibility to present short contributions. On Monday and Wednesday evening a total of 11 short talks were delivered. We would like to stress the high quality and level of interest of these contributions. The two sessions have received much attention and have led to much additional scientific discussion about the work of younger participants. For this reason, these contributions are covered in these proceedings as well. Another special event was a panel discussion on Tuesday evening on the topic “Whither the interaction of Geometry-QFT-String?”.
    [Show full text]
  • First Annual BHI Conference on Black Holes
    The Inaugural Black Hole Initiative Annual Conference Scientific Program First Annual BHI Conference on Black Holes Monday, May 8 and Tuesday, May 9, 2017 Sheraton Commander Hotel, 16 Garden Street, Cambridge, MA Hosted by the Black Hole Initiative, Harvard University http://bhi.fas.harvard.edu/ All talks are 20 minutes (15+5) Sessions held in the George Washington Ballroom Coffee Breaks held in the adjacent Terrace Room Monday, May 8, 9:00AM-5:30PM 9:00-9:10AM Avi Loeb: Welcome Session 1: LIGO Session Chair: Ramesh Narayan 9:10-10:30AM Scott Hughes: Black Hole Physics via Gravitational Waves Dan Holz: LIGO's Black Holes Samaya Nissanke: Follow the Roars and Chirps: The Astrophysics of LIGO’s Binary Black Holes Deirdre Shoemaker: Binary Black Holes 10:30-11:00AM Coffee Break Session 2: General Relativity Session Chair: Ramesh Narayan 11:00-12:00PM Clifford Will: Relativistic Evolution of Orbits Around Spinning Massive Black Holes Emanuele Berti: Testing the Kerr Paradigm with Gravitational Wave Observations Pankaj Joshi: Black Holes and Naked Singularities--The Story So Far 12:00-1:30PM Lunch Break Session 3: Physics Session Chair: Andrew Strominger 1:30-3:00PM Alejandra Castro Anich: Extreme Measures for Extremal Black Holes: Recent Theoretical Developments on Black Hole Entropy Glen Barnich: BMS Current Algebra and Field Dependent Central Extension Stefanos Aretakis: Tails of Linear Waves on Black Holes Monica Guica: The Kerr/CFT Correspondence and String Theory 3:00-3:50PM Coffee Break Session 4: Supermassive Black Holes Session Chair:
    [Show full text]