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SUMMARY:Ahmed I. Abdalla (UC\, Berkeley)
DTSTART:20260731T050000Z
DTEND:20260731T060000Z
DTSTAMP:20260803T233421Z
UID:EUPAC-TP/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EUPAC-TP/38/
 ">A Chaotic Form Factor in Topological Gravity</a>\nby Ahmed I. Abdalla (U
 C\, Berkeley) as part of Europe and Pacific Theoretical Physics\n\n\nAbstr
 act\nErgodicity encourages us to define a quantum system as chaotic insofa
 r as its observables are typical. Thermalization takes a given state of a 
 system and renders it indistinguishable from a typical state. We might thu
 s conclude that thermal systems are chaotic. Verifying this conjecture req
 uires an ansatz for typicality. A common choice is the eigenstate thermali
 zation hypothesis (ETH) and its various generalizations. In this talk\, we
  describe such a generalization suited to the computation of multi-trace o
 bservables. This multi-trace ETH posits a form for the statistics of opera
 tor matrix elements. It follows from modest assumptions on random matrices
  and implies properties that were elsewhere derived semiclassically using 
 periodic orbits. Perhaps surprisingly\, we find that the muli-trace ETH an
 satz is realized exactly in 2- and 3-dimensional holographic models of gra
 vity. This is accomplished (1) by computing various Euclidean saddles of t
 he gravitational path integral and (2) by studying universal properties of
  holographic conformal field theories. Our main techniques in this regard 
 are Virasoro TQFT and Mean Field Theory. \n\nBase on work in progress with
  G. di Ubaldo and E. Tabor. Note the unusual time.\n
LOCATION:https://researchseminars.org/talk/EUPAC-TP/38/
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