Title: 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 $$\mathcal{N}$$ ≥ 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 $$\mathcal{N}$$ = 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 $$\mathcal{N}$$ ≥ 6, in contrast to the BPS branch where c vanishes for all $$\mathcal{N}$$ ≥ 2. We briefly discuss potential repercussions this feature could have in a microscopic description of these black holes.

Authors:

Castro, Alejandra ^[1]; Godet, Victor ^[1]; Larsen, Finn ^[2]; Zeng, Yangwenxiao ^[2]

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+ Show Author Affiliations

1. Univ. of Amsterdam, Amsterdam (The Netherlands). Inst. for Theoretical Physics Amsterdam and Delta Inst. for Theoretical Physics
2. Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Physics and Leinweber Center for Theoretical Physics

Publication Date:

Mon May 14 00:00:00 EDT 2018

Research Org.:

Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Org.:

USDOE Office of Science (SC), High Energy Physics (HEP); Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO); Dutch Ministry of Education, Culture and Science (OCW)

OSTI Identifier:

1507004

Alternate Identifier(s):

OSTI ID: 1657482

Grant/Contract Number:  

FG02-95ER40899; SC0007859

Resource Type:

Accepted Manuscript

Journal Name:

Journal of High Energy Physics (Online)

Additional Journal Information:

Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 5; Journal ID: ISSN 1029-8479

Publisher:

Springer Berlin

Country of Publication:

United States

Language:

English

Subject:

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; Black Holes in String Theory; Extended Supersymmetry