Logarithmic corrections to black hole entropy: the non-BPS branch

Abstract We compute the leading logarithmic correction to black hole entropy on the non-BPS branch of 4D N≥2 $$ \mathcal{N}\ge 2 $$ supergravity theories. This branch corresponds to finite temperature black holes whose extremal limit does not preserve supersymmetry, such as the D0 − D6 system in str...

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Main Authors: Alejandra Castro, Victor Godet, Finn Larsen, Yangwenxiao Zeng
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2018)079
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author Alejandra Castro
Victor Godet
Finn Larsen
Yangwenxiao Zeng
author_facet Alejandra Castro
Victor Godet
Finn Larsen
Yangwenxiao Zeng
author_sort Alejandra Castro
collection DOAJ
description Abstract We compute the leading logarithmic correction to black hole entropy on the non-BPS branch of 4D N≥2 $$ \mathcal{N}\ge 2 $$ supergravity theories. This branch corresponds to finite temperature black holes whose extremal limit does not preserve supersymmetry, such as the D0 − D6 system in string theory. Starting from a black hole in minimal Kaluza-Klein theory, we discuss in detail its embedding into N=8 $$ \mathcal{N}=8 $$, 6, 4, 2 supergravity, its spectrum of quadratic fluctuations in all these environments, and the resulting quantum corrections. We find that the c-anomaly vanishes only when N≥6 $$ \mathcal{N}\ge 6 $$, in contrast to the BPS branch where c vanishes for all N≥2 $$ \mathcal{N}\ge 2 $$. We briefly discuss potential repercussions this feature could have in a microscopic description of these black holes.
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spelling doaj.art-2f0b204d7a2c45bb8949307e5121ce392022-12-22T02:25:11ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018514610.1007/JHEP05(2018)079Logarithmic corrections to black hole entropy: the non-BPS branchAlejandra Castro0Victor Godet1Finn Larsen2Yangwenxiao Zeng3Institute for Theoretical Physics Amsterdam and Delta Institute for Theoretical Physics, University of AmsterdamInstitute for Theoretical Physics Amsterdam and Delta Institute for Theoretical Physics, University of AmsterdamDepartment of Physics and Leinweber Center for Theoretical Physics, University of MichiganDepartment of Physics and Leinweber Center for Theoretical Physics, University of MichiganAbstract We compute the leading logarithmic correction to black hole entropy on the non-BPS branch of 4D N≥2 $$ \mathcal{N}\ge 2 $$ supergravity theories. This branch corresponds to finite temperature black holes whose extremal limit does not preserve supersymmetry, such as the D0 − D6 system in string theory. Starting from a black hole in minimal Kaluza-Klein theory, we discuss in detail its embedding into N=8 $$ \mathcal{N}=8 $$, 6, 4, 2 supergravity, its spectrum of quadratic fluctuations in all these environments, and the resulting quantum corrections. We find that the c-anomaly vanishes only when N≥6 $$ \mathcal{N}\ge 6 $$, in contrast to the BPS branch where c vanishes for all N≥2 $$ \mathcal{N}\ge 2 $$. We briefly discuss potential repercussions this feature could have in a microscopic description of these black holes.http://link.springer.com/article/10.1007/JHEP05(2018)079Black Holes in String TheoryExtended Supersymmetry
spellingShingle Alejandra Castro
Victor Godet
Finn Larsen
Yangwenxiao Zeng
Logarithmic corrections to black hole entropy: the non-BPS branch
Journal of High Energy Physics
Black Holes in String Theory
Extended Supersymmetry
title Logarithmic corrections to black hole entropy: the non-BPS branch
title_full Logarithmic corrections to black hole entropy: the non-BPS branch
title_fullStr Logarithmic corrections to black hole entropy: the non-BPS branch
title_full_unstemmed Logarithmic corrections to black hole entropy: the non-BPS branch
title_short Logarithmic corrections to black hole entropy: the non-BPS branch
title_sort logarithmic corrections to black hole entropy the non bps branch
topic Black Holes in String Theory
Extended Supersymmetry
url http://link.springer.com/article/10.1007/JHEP05(2018)079
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