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SUMMARY:Ofer Aharony (Weizmann Inst.)
DTSTART:20210603T141500Z
DTEND:20210603T160000Z
DTSTAMP:20260423T022813Z
UID:LIJC/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LIJC/45/">A 
 gravity interpretation for the Bethe ansatz expansion of the N=4 SYM super
 conformal index</a>\nby Ofer Aharony (Weizmann Inst.) as part of London In
 tegrability Journal Club\n\n\nAbstract\nThis (blackboard) talk is based on
  2104.13932 and on work in progress with Francesco Benini\, Ohad Mamroud a
 nd Paolo Milan. I will begin by briefly reviewing the superconformal index
  of the d=4 N=4 SU(N) supersymmetric Yang-Mills theory\, how it is related
  (in the large N limit) to counting black hole microstates\, and how it ca
 n be computed. I will then review a specific way to compute the index call
 ed the Bethe ansatz expansion\, and describe the known solutions to the Be
 the ansatz equations\, and what they contribute to the index in the large 
 N limit\, including both perturbative and non-perturbative terms in 1/N. T
 he index is related to the partition function of N=4 SYM on S^3xS^1\, and 
 in the large N limit this should be related by the AdS/CFT correspondence 
 to a sum over Euclidean gravity solutions with appropriate asymptotic beha
 vior. I will show that each known Bethe ansatz contribution arises from a 
 specific supersymmetric (complex) black hole solution\, which reproduces b
 oth its perturbative and its non-perturbative behavior (the latter comes f
 rom wrapped Euclidean D3-branes). A priori there are many more gravitation
 al solutions than Bethe ansatz contributions\, but we show that by conside
 ring the non-perturbative effects\, the extra solutions are ruled out\, le
 ading to a precise match between the solutions on both sides.\n
LOCATION:https://researchseminars.org/talk/LIJC/45/
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