Quantum Black Hole Chemistry from Double Holography
Abstract
Extended black hole thermodynamics highlights a sharp tension in the usual holographic dictionary: at fixed boundary conformal frame, changing the AdS radius changes both the central charge and the spatial volume of the CFT, so that the color and volume sectors of the first law becomes degenerate. We show that this degeneracy is naturally removed for quantum black holes in Karch--Randall double holography. The mechanism is intrinsically semiclassical. Replacing the holographic regulator surface by a physical brane induces gravity coupled to a cutoff CFT, so classical bulk black holes become lower-dimensional quantum black holes whose geometry includes the cutoff-matter stress tensor to all orders in backreaction. This backreacting matter sector supplies a color variable distinct from the defect volume. We demonstrate the mechanism explicitly for the quantum BTZ black hole. Thus quantum backreaction resolves the same color-volume degeneracy addressed by the recent Weyl-factor proposal, but without introducing a non-standard boundary Weyl factor. Instead, the missing thermodynamic direction is supplied by the physical cutoff-matter sector of the doubly holographic quantum black hole.
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BibTeX
@misc{kumar2026quantum,
title = {{Quantum Black Hole Chemistry from Double Holography}},
author = {Naman Kumar},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.28408},
eprint = {2606.28408},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.28408},
}
RIS
TY - UNPB
TI - Quantum Black Hole Chemistry from Double Holography
AU - Naman Kumar
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2606.28408
UR - https://arxiv.org/abs/2606.28408
AB - Extended black hole thermodynamics highlights a sharp tension in the usual holographic dictionary: at fixed boundary conformal frame, changing the AdS radius changes both the central charge and the spatial volume of the CFT, so that the color and volume sectors of the first law becomes degenerate. We show that this degeneracy is naturally removed for quantum black holes in Karch--Randall double holography. The mechanism is intrinsically semiclassical. Replacing the holographic regulator surface by a physical brane induces gravity coupled to a cutoff CFT, so classical bulk black holes become lower-dimensional quantum black holes whose geometry includes the cutoff-matter stress tensor to all orders in backreaction. This backreacting matter sector supplies a color variable distinct from the defect volume. We demonstrate the mechanism explicitly for the quantum BTZ black hole. Thus quantum backreaction resolves the same color-volume degeneracy addressed by the recent Weyl-factor proposal, but without introducing a non-standard boundary Weyl factor. Instead, the missing thermodynamic direction is supplied by the physical cutoff-matter sector of the doubly holographic quantum black hole.
ER -