Speaker
            
    Ilija Buric
        
            (Trinity College Dublin)
        
    Description
Conformal two-point functions at finite temperature are constrained by the Kubo-Martin-Schwinger (KMS) condition, which expresses periodicity in Euclidean time. Together with the conformal block decomposition, the KMS condition has recently been used to formulate a thermal bootstrap program, leading to various results in the Ising and O(N) models. We show how the KMS condition may be used to obtain double-trace thermal coefficients in holographic theories. The result passes several checks, including a comparison with solutions to the Klein-Gordon equation on the planar AdS black hole. The talk is based on joint works with Ivan Gusev and Andrei Parnachev, 2505.10277 + 2508.08373.