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A. Stratoudakis

Publications and source records attributed to A. Stratoudakis.

2 recordsLinked to original sources

Thermal Double-Twist Data in Holography

We explain how to extract thermal OPE coefficients of double-twist operators in scalar two-point functions at infinite spatial volume from suitably regularized integrals of thermal response functions in momentum space. As a specific application, we implement the proposed approach to four-dimensional holographic CFTs with an Einstein bulk action, where the finite-temperature state is captured by an AdS$_5$ black-brane geometry. In that case, the thermal response function can be computed on the gravitational side by solving numerically a radial ODE reduction of the Klein-Gordon equation. We obtain accurate values of double-twist data from this solution, completing previous holographic and bootstrap studies of thermal two-point functions. Some of the reported spin-resolved data that we compute are new.

hep-th

Deep Finite Temperature Bootstrap

We introduce a novel method to bootstrap crossing equations in Conformal Field Theory and apply it to finite temperature theories on $S^1\times \mathbb{R}^{d-1}$. The proposed approach does not rely on positivity constraints and does not employ uncontrolled truncation schemes. Instead, we capture the contribution of an infinite number of operators in conformal block expansions using suitable functions, which are bootstrapped (numerically) together with a finite number of exposed CFT data. Our approach at finite temperature employs three key ingredients: $(i)$ the Kubo-Martin-Schwinger (KMS) condition, $(ii)$ thermal dispersion relations and $(iii)$ Neural Networks that model spin-dependent tail functions within the conformal block expansions. We test the efficiency of the new method in the case of Generalized Free Fields and use it to perform a preliminary bootstrap analysis of double-twist thermal data in holographic CFTs.

hep-th