Where's Kasner? OPE Signature of Kasner Exponents

@misc{ceplak2026wheres,
  title = {{Where's Kasner? OPE Signature of Kasner Exponents}},
  author = {Nejc Čeplak and Samuel Valach},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23776},
  eprint = {2609.23776},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23776},
}

TY  - UNPB
TI  - Where's Kasner? OPE Signature of Kasner Exponents
AU  - Nejc Čeplak
AU  - Samuel Valach
PY  - 2026
DA  - 2026/09/20
PB  - arXiv
DO  - 10.48550/arxiv.2609.23776
UR  - https://arxiv.org/abs/2609.23776
AB  - At large N, the analytic structure of holographic thermal correlation functions contains non-trivial information about the near-singularity region of dual black holes. In particular, complex-time singularities can be related to geodesics that probe the black hole interior and bounce off the singularity. We analyse the asymptotic behaviour of holographic OPE data entering scalar two-point functions in states dual to black branes whose blackening factors truncate at finite order in inverse powers of the radial coordinate. For this class of geometries, we find a direct relation between the power-law exponent of these bouncing singularities and the Kasner exponent associated with the time direction near the black hole singularity. We discuss the regime of validity of this relation and comment on possible extensions to the transverse spatial directions.
ER  -