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arXiv · 2512.15114

Thermal spectral function asymptotics and black hole singularity in holography

Hewei Frederic Jia·Mukund Rangamani
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Abstract

We investigate the analytic structure of thermal spectral function of holographic CFTs, synthesizing recent developments into a set of observations about its asymptotics. Specifically, for a class of scalar primaries with integral dimension, we demonstrate factorization of the exact spectral function into a polynomial piece, which captures the vacuum dynamics, and a non-perturbative piece, which controls its asymptotics. Using exact WKB techniques, we derive a transseries expression for the latter. We use this information to deduce the singular loci of a spatially averaged thermofield double correlator in the complex time plane. Such singularities have been argued to encode information regarding the black hole singularity in the dual spacetime. Our results give a refinement of these statements by capturing the momentum dependence.

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Hewei Frederic Jia, Mukund Rangamani. 2025-12-17. Thermal spectral function asymptotics and black hole singularity in holography. https://arxiv.org/abs/2512.15114

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