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DTSTAMP:20261025T020535Z
UID:7e4f516f-6811-4736-988a-ebe14583ede9
DTSTART:20261028T150000
DTEND:20261028T163000
DESCRIPTION:String theory on AdS3 with pure NSNS flux is an ideal laborator
 y for holography beyond the supergravity limit: its worldsheet theory\, th
 e SL(2\,ℝ) WZW model\, is an exactly solvable CFT\, giving direct access
  to fully stringy correlators. The pole structure of string correlators en
 codes essential information about the AdS3/CFT2 duality\, and the correspo
 nding residues can be compared directly with those of a holographic CFT de
 fined as a deformed symmetric orbifold. Beyond three-point functions\, thi
 s matching has so far been achieved only for a subset of poles\, using fre
 e-field techniques near the boundary. In this talk I will present an alter
 native approach based on the exact symmetries of the worldsheet theory. St
 arting from the localization of correlators on covering maps\, the Knizhni
 k–Zamolodchikov equations can be solved for any number of insertions\, a
 rbitrary spectral flow charges and along a whole family of poles\, reprodu
 cing the holographic CFT and free-field residues. This provides a systemat
 ic framework that should extend to the remaining poles and\, ultimately\, 
 to the full analytic structure of string amplitudes in AdS3. Based on work
  with S. Iguri and N. Kovensky [arXiv:2609.35495].
LOCATION:ETH Zürich\, Hönggerberg HIT E 41.1
ORGANIZER:Julian Toro
SUMMARY:Knizhnik--Zamolodchikov equations and the analytic structure of str
 ings in AdS3
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