AdS Locality and the Conformal Bootstrap by Simon Caron-Huot
335 views · Published 22 October 2018 · 1:05:27 · Indexed 6 October 2026
Channel: International Centre for Theoretical Sciences · 2018 · Science & Technology
ORGANIZERS : Pallab Basu, Avinash Dhar, Rajesh Gopakumar, R. Loganayagam, Gautam Mandal, Shiraz Minwalla, Suvrat Raju, Sandip Trivedi and Spenta Wadia
DATE : 21 May 2018 to 02 June 2018
VENUE : Ramanujan Lecture Hall, ICTS Bangalore
In the past twenty years, the discovery of the AdS/CFT correspondence has revolutionized the study of string theory and quantum gravity. The correspondence has also led to the discovery of far-reaching connections between string theory and other seemingly unrelated areas of physics, including the study of strongly correlated condensed matter systems and fluid dynamics. This meeting is a celebration of 20 years of the AdS/CFT correspondence, and will bring together experts in this area to take stock of the progress that has been made, and identify promising directions for future research in this area.
The Infosys-ICTS Chandrasekhar Lectures by Juan Maldacena will also be part of this discussion meeting.
PROGRAM LINK : https://www.icts.res.in/discussion-meeting/adscft20
Table of Contents (powered by https://videoken.com)
0:00:00 AdS/CFT at 20 and Beyond
0:00:10 AdS Locality and the Conformal Bootstrap
0:00:52 How does (sharp) AdS locality emerges from CFT?
0:02:24 We'll study CFT correlation functions
0:03:11 This talk: 4 points, only locality in time ("causality")
0:04:35 Causality implies that forces are mediated by exchanging particles (no 'instantaneous action at a distance')
0:06:42 HPPS Conjecture
0:07:44 Outline
0:09:43 Regge limit
0:11:47 Toy model: amplitude f(E) that's:
0:14:06 f(E) extends nicely beyond |E|1 =fj is analytic in spin
0:15:44 Regge theory: Euclidean =Lorentzian OPEs
0:16:57 Claim
0:19:53 Large-N: saturated by single-traces!
0:21:13 Method of the missing box
0:22:35 Simpler derivation
0:24:53 The trick
0:25:59 Result: Froissart-Gribov formula
0:26:54 A (boring) test: 2D Ising
0:28:00 AdS locality
0:28:54 Effective field theory in AdS
0:29:57 dDisc from the cross-channel
0:35:48 'Heavy' part depends on nonperturbative UV completion
0:41:45 Ex.: tree-level AdS gravity
0:43:15 Correlator of Tr[Z2] N=4 SYM
0:44:13 Result matches perfectly supergravity written diagrams
0:45:45 One-loop supergravity
0:48:16 We studied the 'bulk point' limit of the CFT I/N correction
0:49:03 Note: In AdS/CFT there is (never?) a local 5D theory
0:52:26 More on tree-level
0:54:03 Large-spin bootstrap
0:54:07 Asymptotic series in 3D Ising
0:54:53 Recipe for Ising's AdS dual
0:56:09 What about spin 0?
0:57:51 Conjectures
0:58:42 Beyond Rindler: hard scattering
0:59:43 Summary
1:00:10 Q&A
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