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SUMMARY:Jordan Cotler (Harvard)
DTSTART:20210322T183000Z
DTEND:20210322T193000Z
DTSTAMP:20260423T010251Z
UID:PUHET/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PUHET/19/">B
 lack hole microstate statistics from Euclidean wormholes</a>\nby Jordan Co
 tler (Harvard) as part of Princeton HET seminar\n\n\nAbstract\nIn models o
 f 2D dilaton gravity\, it has been shown that wormhole amplitudes encode b
 lack hole microstate level statistics.  These statistics quantitatively ag
 ree with predictions of random matrix theory for chaotic quantum systems\;
  this behavior is realized since the 2D theories in question are dual to m
 atrix models.  But what about black hole microstate statistics for Einstei
 n gravity in 3D and higher spacetime dimensions\, and ultimately in string
  theory?  We will discuss progress in these directions.  In AdS3\, we comp
 ute a wormhole amplitude that encodes the energy level statistics of BTZ b
 lack holes.  In 4D and higher\, we discover analogous wormholes which appe
 ar to encode the level statistics of small black holes just above threshol
 d\; we find that the 1-loop approximations have a short-distance divergenc
 e in pure Einstein gravity and so are sensitive to the details of UV compl
 etion.  Finally\, we study analogous Euclidean wormholes in supergravity o
 n AdS5 x S5 and provide evidence that they encode the level statistics of 
 small black holes just above threshold.  Remarkably\, these wormholes appe
 ar stable in a certain parameter regime\, and dominate over the nucleation
  of brane-anti-brane pairs in the computation of the spectral form factor 
 at late Lorentzian time.\n
LOCATION:https://researchseminars.org/talk/PUHET/19/
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