Speaker
Costis Papageorgakis
(Queen Mary University London, UK)
Description
We introduce a novel method to bootstrap crossing equations in Conformal Field Theory and apply it to finite temperature theories on S1×Rd−1. Traditional bootstrap approaches relying on positivity constraints or truncation schemes are not applicable to this problem. Instead, we capture infinite towers of operators using suitable tail functions, which are bootstrapped numerically together with explicit CFT data. Our method employs three key ingredients: the Kubo-Martin-Schwinger (KMS) condition, thermal dispersion relations, and Neural Networks that model spin-dependent tail functions. We test the method on Generalized Free Fields and apply it to bootstrap double-twist thermal data in holographic CFTs.
