Thermal spectral function asymptotics and black hole singularity in holography
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912842464100352 |
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| author | Jia, Hewei Frederic Rangamani, Mukund |
| author_facet | Jia, Hewei Frederic Rangamani, Mukund |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15114 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermal spectral function asymptotics and black hole singularity in holography Jia, Hewei Frederic Rangamani, Mukund High Energy Physics - Theory General Relativity and Quantum Cosmology 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. |
| title | Thermal spectral function asymptotics and black hole singularity in holography |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.15114 |