BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Giuseppe Policastro (Ecole Normale Superieure)
DTSTART:20221216T120000Z
DTEND:20221216T130000Z
DTSTAMP:20260423T005834Z
UID:FHD-4/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FHD-4/15/">M
 atrix Quantum mechanics and quantum averaging of JT gravity</a>\nby Giusep
 pe Policastro (Ecole Normale Superieure) as part of Frontiers of Holograph
 ic Duality-4\n\n\nAbstract\nI will discuss the matrix quantum mechanics wi
 th potential corresponding to an arbitrary spectral curve. This can be see
 n as a generalization of the duality between JT gravity and a particular m
 atrix integral. Using the recently developed techniques of quantum general
 ised hydrodynamics\, the effective theory of the eigenvalue density fluctu
 ations is a simple 2D free-boson BCFT on a curved background. The ensemble
  average over random matrices then corresponds to a quantum expectation va
 lue. Using this formalism we reproduce non-perturbative results for matrix
  integrals (the ramp and the plateau in the spectral form factor). We also
  compute the entanglement between eigenvalues\, matching a previous result
  by Hartnoll and Mazenc for the c = 1 matrix model and extending it to the
  general case. The hydrodynamical theory provides a clear picture of the e
 mergence of spacetime in two dimensional string theory. The talk is based 
 on an upcoming paper with G. di Ubaldo.\n
LOCATION:https://researchseminars.org/talk/FHD-4/15/
END:VEVENT
END:VCALENDAR
