PreprintCC BY 4.0arXiv
Exact thermal correlators at vanishing momenta and the black hole singularity
Abstract
We study thermal two- and three-point functions of scalar primaries in holographic CFTs dual to AdS black branes. The three-point function arises from a cubic scalar interaction in the bulk. At vanishing external momenta, the tree-level results can be written in closed form and are exact in the operator dimensions. We reproduce them through direct CFT calculations in two dimensions. Their large-dimension expansions contain subleading exponential terms encoding the radial proper time from the horizon to the black hole singularity. These results provide an exact test of earlier WKB and saddle-point predictions for higher-point thermal correlators, confirming the proper-time signature while correcting the predicted asymptotic form.
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BibTeX
@misc{singhi2026exact,
title = {{Exact thermal correlators at vanishing momenta and the black hole singularity}},
author = {Kaustubh Singhi},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05473},
eprint = {2611.05473},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05473},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Exact thermal correlators at vanishing momenta and the black hole singularity
AU - Kaustubh Singhi
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05473
UR - https://arxiv.org/abs/2611.05473
AB - We study thermal two- and three-point functions of scalar primaries in holographic CFTs dual to AdS black branes. The three-point function arises from a cubic scalar interaction in the bulk. At vanishing external momenta, the tree-level results can be written in closed form and are exact in the operator dimensions. We reproduce them through direct CFT calculations in two dimensions. Their large-dimension expansions contain subleading exponential terms encoding the radial proper time from the horizon to the black hole singularity. These results provide an exact test of earlier WKB and saddle-point predictions for higher-point thermal correlators, confirming the proper-time signature while correcting the predicted asymptotic form.
ER -