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SUMMARY:Modular-invariant random matrix theory and AdS3 wormholes - Felix 
 Haehl (University of Southampton)
DTSTART:20260122T130000Z
DTEND:20260122T140000Z
UID:TALK242380@talks.cam.ac.uk
CONTACT:Klaas Parmentier
DESCRIPTION:I will describe a non-perturbative definition of RMT2: a gener
 alization of random matrix theory that is compatible with the symmetries o
 f 2d CFT. Given any random matrix ensemble\, its spectral correlations adm
 it a modular-invariant lift to RMT2\, which reduce to the original random 
 matrix correlators in a near-extremal limit. The lift proceeds in two step
 s: I will first discuss a Mellin space formulation of RMT. The Mellin spac
 e correlators are then interpreted as an SL(2\,Z) spectral decomposition. 
 This sheds a new light on the AdS3 wormhole geometries with multiple torus
  boundaries.\n
LOCATION:Potter room
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