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SUMMARY:ArXiv discussion\, talk by Vivek Singh
DTSTART:20261009T120000Z
DTEND:20261009T130000Z
DTSTAMP:20261028T132400Z
UID:indico-event-2247@indico.uu.se
DESCRIPTION:Speakers: Sofiya Sianiuta (Uppsala University)\n\nSingh's talk
 : Title: A semiclassical Hilbert space for random matrix theory Abstrac
 t:  In this talk\, I will discuss the time evolution of thermal states i
 n N×N random matrices at large-N. Taking inspiration from the chord Hilbe
 rt space construction in the double-scaled SYK model\, I will argue that t
 he Krylov basis provides a semiclassical Hilbert space description of thes
 e thermal states. For theories whose large-N spectral density is even and 
 compactly supported with square-root edges\, I will show that\, under some
  additional analyticity conditions\, the semiclassical Hamiltonian has the
  same asymptotic behavior at large Krylov depth as in double scaled SYK. M
 oreover\, for a broad class of UV deformations of the DSSYK spectral densi
 ty\, which modify the spectrum at high energies while preserving the near 
 edge behavior\, the effective Hamiltonian in the Krylov basis reduces to t
 he Liouville Hamiltonian of JT gravity in a low-energy continuum limit. Th
 is suggests that the semiclassical Hilbert space should be interpreted as 
 the bulk Hilbert space of a dual gravitational description.\n\nhttps://ind
 ico.uu.se/event/2247/
LOCATION:A92110 (Ångströmlaboratoriet )
URL:https://indico.uu.se/event/2247/
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