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SUMMARY:Bootstrapping Thermal CFTs - Elli Pomoni (Deutsches Elektronen-Syn
 chrotron)
DTSTART:20251212T150000Z
DTEND:20251212T160000Z
UID:TALK239347@talks.cam.ac.uk
DESCRIPTION:In this talk\, we explore the structure and solution of therma
 l conformal field theories (CFTs) using the conformal bootstrap approach. 
 At finite temperature\, the role of crossing symmetry is played by the Kub
 o-Martin-Schwinger (KMS) condition\, which imposes periodicity on thermal 
 correlation functions. We present two methods for solving the resulting KM
 S sum rules for thermal one-point functions\, assuming knowledge of the ze
 ro-temperature CFT data. The first is a numerical method that incorporates
  the asymptotic operator product expansion (OPE) density of heavy operator
 s\, derived using Tauberian theorems. The second is an analytical approach
  based on dispersion relations. We benchmark both methods against known re
 sults in free theories and two-dimensional CFTs\, and subsequently apply t
 hem to O(N) models for N=1\,2\,3\, as well as in the large-N limit and las
 tly to holographic CFTs.
LOCATION:Seminar Room 1\, Newton Institute
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