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SUMMARY:AdS_3/RMT_2 Duality
DTSTART;VALUE=DATE-TIME:20231012T120000
DTEND;VALUE=DATE-TIME:20231012T130000
DTSTAMP;VALUE=DATE-TIME:20240918T202046Z
UID:3af0228cd309ab9c557a81aaf714346dda5f72d4058e97ee05984900
CATEGORIES:Conferences - Seminars
DESCRIPTION:Eric Perlmutter (IPhT\, Saclay)\nAbstract:\nWe introduce a fr
amework for quantifying random matrix behavior of 2d CFTs and AdS_3 quantu
m gravity\, that is manifestly compatible with the constraints of confo
rmal and modular invariance. We explain what it means to isolate the chao
tic part of the Virasoro primary spectrum of a given theory. This leads to
a 2d CFT trace formula\, analogous to the Gutzwiller trace formula for ch
aotic quantum systems\, which allows us to identify conditions for random
matrix universality in 2d CFT. We use this to understand the off-shell Cot
ler-Jensen torus wormhole of AdS_3 pure gravity from a purely microscopic
CFT point of view. This wormhole is shown to be extremal\, a minimal compl
etion of the random matrix theory two-point correlator compatible with the
symmetries. By factorizing this wormhole\, we determine a new piece of th
e AdS_3 pure gravity path integral with a single torus boundary\; this con
tains fine-grained spectral data of the black hole microstates of pure gra
vity.\n\n
LOCATION:BSP 727 https://plan.epfl.ch/?room==BSP%20727
STATUS:CONFIRMED
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