Large-N Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
Abstract
We develop the boundary large-rank interpretation of finite Carrollian black-hole thermodynamics and its sourced stress, scalar spectral and interacting thermal observables. Correlated scaling of the time generator and Newton coupling preserves the extended Hamiltonian differential while the generator temperature vanishes and the holographic normalization grows. The Brown--York source variation fixes the relative weights of energy density, momentum density and spatial stress, giving Ward equations on the Carrollian and thermal time scales. Boundary volume and normalization variations reproduce the bulk pressure work and characterize the Hawking--Page crossing through a chemical potential. Source coupling fixes the scalar operator map and spectral clock Jacobian. Numerical solutions in four-dimensional Schwarzschild-AdS determine angular transmission and finite-frequency absorption. In the type IIB family, the logarithmic scrambling interval imposes an additional hierarchy between rank and 't Hooft coupling. We derive a correlated limit in which the string length vanishes while a finite transverse Regge kernel survives in the normalized four-point functional. Its integrated attenuation and spatial width obey a common relation. This interacting observable distinguishes large-rank sequences with the same leading thermodynamics and asymptotic Regge growth rate. Thermal Fourier--Mellin moments retain the scalar spectrum in a contracting frequency window. Time translations shift their weights with angular source terms retained. The BTZ dictionary supplies the corresponding large-central-charge equilibrium example.
Related
- Generalized Thermodynamics and Phase Transitions of Vaidya-adS Black Holes
- Thermodynamics and phase transitions of spherically symmetric AdS regular black holes
- Thermodynamics and phase structure of rotating Hayward-AdS black holes
- Thermodynamic volumes of extended black hole thermodynamics with auxiliary gauge fields
- Thermodynamics of Kerr-Bertotti-Robinson black hole
BibTeX
@misc{xu2026largen,
title = {{Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions}},
author = {Yingnan Xu and Shuangshuang Chu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.26163},
eprint = {2606.26163},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.26163},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Large-N Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
AU - Yingnan Xu
AU - Shuangshuang Chu
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2606.26163
UR - https://arxiv.org/abs/2606.26163
AB - We develop the boundary large-rank interpretation of finite Carrollian black-hole thermodynamics and its sourced stress, scalar spectral and interacting thermal observables. Correlated scaling of the time generator and Newton coupling preserves the extended Hamiltonian differential while the generator temperature vanishes and the holographic normalization grows. The Brown--York source variation fixes the relative weights of energy density, momentum density and spatial stress, giving Ward equations on the Carrollian and thermal time scales. Boundary volume and normalization variations reproduce the bulk pressure work and characterize the Hawking--Page crossing through a chemical potential. Source coupling fixes the scalar operator map and spectral clock Jacobian. Numerical solutions in four-dimensional Schwarzschild-AdS determine angular transmission and finite-frequency absorption. In the type IIB family, the logarithmic scrambling interval imposes an additional hierarchy between rank and 't Hooft coupling. We derive a correlated limit in which the string length vanishes while a finite transverse Regge kernel survives in the normalized four-point functional. Its integrated attenuation and spatial width obey a common relation. This interacting observable distinguishes large-rank sequences with the same leading thermodynamics and asymptotic Regge growth rate. Thermal Fourier--Mellin moments retain the scalar spectrum in a contracting frequency window. Time translations shift their weights with angular source terms retained. The BTZ dictionary supplies the corresponding large-central-charge equilibrium example.
ER -