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SUMMARY:AdS/CFT at Finite String Coupling
DTSTART;VALUE=DATE-TIME:20200218T130000Z
DTEND;VALUE=DATE-TIME:20200218T150000Z
DTSTAMP;VALUE=DATE-TIME:20200328T184518Z
UID:indico-event-879323@indico.cern.ch
DESCRIPTION:\nWe consider the S-matrix in Type IIB/IIA string theory\, an
d compare it to correlators of the stress tensor multiplet in various holo
graphic CFTs. On flat space\, the leading small momentum corrections to th
ese S-matrices are protected and known at finite string coupling. At finit
e string coupling\, Type IIB on AdS_5 x S_5 is dual to 4d N=4 SYM at la
rge N and finite complexified coupling tau\, while Type IIA on AdS_4 x S^
7/Z_k is dual to 3d ABJM with Chern-Simons level k at large N and fixed N
/k^5. In each case\, we compute the CFT correlator to several orders in 1/
N using supersymmetric localization\, and find that it matches the known S
-matrix in the flat space limit\, which is the first non-perturbative (in
string coupling) check of AdS/CFT. In the Type IIB case\, the 1/N coeffici
ents are modular functions of tau under S-duality\, which receive infinit
e instanton corrections. In the Type IIA case\, the 1/N coefficients recei
ve no instanton corrections\, and interpolate from M-theory at small k (l
arge string coupling) to Type IIA at large k (weak string coupling).\n\n\n
https://indico.cern.ch/event/879323/
LOCATION:CERN 4/3-006 - TH Conference Room
URL:https://indico.cern.ch/event/879323/
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