Classical Unattainability of Extremality in non-BPS D-brane Systems

Fuente: arXiv
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Autori principali: Kumar, Pranav, Mondal, Swapnamay
Natura: Preprint
Pubblicazione: 2026
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author Kumar, Pranav
Mondal, Swapnamay
author_facet Kumar, Pranav
Mondal, Swapnamay
contents For the worldline theory of an extremal black hole, extremality amounts to vanishing ground state energy. In light of recent gravity results one would expect much like the ground state degeneracy this fine tuned condition too will not be met. It is unclear though whether this should be a quantum artefact or classical. In this paper we consider a non-BPS extremal four-charge Reissner Nordstrom black hole in N = 8 String theory. It is shown that the microscopic D-brane description fails to admit any extremal state, even classically. This positive energy is expected to destabilize the near horizon AdS2. The positive minimum energy is a direct consequence of the pattern of supersymmetry breaking by the D-branes. The black hole entropy is found to be the logarithm of the number of isolated minima and hence is related to the configurational entropy of the microscopic potential. We also find multiple continua of local minima corresponding to marginally bound states of the constituent D-branes.
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id arxiv_https___arxiv_org_abs_2601_07032
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Classical Unattainability of Extremality in non-BPS D-brane Systems
Kumar, Pranav
Mondal, Swapnamay
High Energy Physics - Theory
For the worldline theory of an extremal black hole, extremality amounts to vanishing ground state energy. In light of recent gravity results one would expect much like the ground state degeneracy this fine tuned condition too will not be met. It is unclear though whether this should be a quantum artefact or classical. In this paper we consider a non-BPS extremal four-charge Reissner Nordstrom black hole in N = 8 String theory. It is shown that the microscopic D-brane description fails to admit any extremal state, even classically. This positive energy is expected to destabilize the near horizon AdS2. The positive minimum energy is a direct consequence of the pattern of supersymmetry breaking by the D-branes. The black hole entropy is found to be the logarithm of the number of isolated minima and hence is related to the configurational entropy of the microscopic potential. We also find multiple continua of local minima corresponding to marginally bound states of the constituent D-branes.
title Classical Unattainability of Extremality in non-BPS D-brane Systems
topic High Energy Physics - Theory
url https://arxiv.org/abs/2601.07032