The statistical mechanics of near-BPS black holes

DOI10.1088/1751-8121/AC3BE9zbMATH Open1499.83014arXiv2011.01953OpenAlexW3216242959WikidataQ113276182 ScholiaQ113276182MaRDI QIDQ5049465

Author name not available (Why is that?)

Publication date: 11 November 2022

Published in: (Search for Journal in Brave)

Abstract: Due to the failure of thermodynamics for low temperature near-extremal black holes, it has long been conjectured that a "thermodynamic mass gap" exists between an extremal black hole and the lightest near-extremal state. For non-supersymmetric near-extremal black holes in Einstein gravity, with an AdS${}_2$ throat, no such gap was found. Rather, at that energy scale, the spectrum exhibits a continuum of states, up to non-perturbative corrections. In this paper, we compute the partition function of near-BPS black holes in supergravity where the emergent, broken, symmetry is $PSU(1,1|2)$. To reliably compute this partition function, we show that the gravitational path integral can be reduced to that of a $mathcalN=4$ supersymmetric extension of the Schwarzian theory, which we define and exactly quantize. In contrast to the non-supersymmetric case, we find that black holes in supergravity have a mass gap and a large extremal black hole degeneracy consistent with the Bekenstein-Hawking area. Our results verify several string theory conjectures, concerning the scale of the mass gap and the counting of extremal micro-states.

Full work available at URL: https://arxiv.org/abs/2011.01953

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: The statistical mechanics of near-BPS black holes

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5049465)