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arXiv · 2508.08373

Holographic Correlators from Thermal Bootstrap

Ilija Burić·Ivan Gusev·Andrei Parnachev
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Abstract

Holographic thermal two-point functions can be analyzed using the operator product expansion which contains contributions from both multi-stress-tensor and double-trace operators. The former can be computed by analyzing the bulk equation of motion in a near-boundary expansion, but the latter has remained elusive-in practice, one resorts to solving a partial differential equation with limited accuracy. We show that imposing the Euclidean periodicity condition on the holographic correlator (also known as the KMS condition or thermal bootstrap), followed by Pad\'e-Borel resummation, provides an efficient method for computing double-trace thermal coefficients. The resulting series converges rapidly and yields numerical values in excellent agreement with those obtained from solving the partial differential equation.

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Ilija Burić, Ivan Gusev, Andrei Parnachev. 2025-08-11. Holographic Correlators from Thermal Bootstrap. https://arxiv.org/abs/2508.08373

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