Logarithmic corrections to black hole entropy: the nonBPS branch
We compute the leading logarithmic correction to black hole entropy on the nonBPS branch of _{4}D 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 KaluzaKlein theory, we discuss in detail its embedding into N = 8, 6, 4, 2 supergravity, its spectrum of quadratic fluctuations in all these environments, and the resulting quantum corrections. We find that the canomaly vanishes only when N ≥ 6, in contrast to the BPS branch where c vanishes for all N ≥ 2. We briefly discuss potential repercussions this feature could have in a microscopic description of these black holes.
 Authors:

^{[1]};
^{[1]};
^{[2]};
^{[2]}
 Univ. of Amsterdam, Amsterdam (The Netherlands). Inst. for Theoretical Physics Amsterdam and Delta Inst. for Theoretical Physics
 Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Physics and Leinweber Center for Theoretical Physics
 Publication Date:
 Grant/Contract Number:
 FG0295ER40899
 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 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Univ. of Michigan, Ann Arbor, MI (United States)
 Sponsoring Org:
 USDOE
 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
 OSTI Identifier:
 1507004
Castro, Alejandra, Godet, Victor, Larsen, Finn, and Zeng, Yangwenxiao. Logarithmic corrections to black hole entropy: the nonBPS branch. United States: N. p.,
Web. doi:10.1007/jhep05(2018)079.
Castro, Alejandra, Godet, Victor, Larsen, Finn, & Zeng, Yangwenxiao. Logarithmic corrections to black hole entropy: the nonBPS branch. United States. doi:10.1007/jhep05(2018)079.
Castro, Alejandra, Godet, Victor, Larsen, Finn, and Zeng, Yangwenxiao. 2018.
"Logarithmic corrections to black hole entropy: the nonBPS branch". United States.
doi:10.1007/jhep05(2018)079. https://www.osti.gov/servlets/purl/1507004.
@article{osti_1507004,
title = {Logarithmic corrections to black hole entropy: the nonBPS branch},
author = {Castro, Alejandra and Godet, Victor and Larsen, Finn and Zeng, Yangwenxiao},
abstractNote = {We compute the leading logarithmic correction to black hole entropy on the nonBPS branch of 4D 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 KaluzaKlein theory, we discuss in detail its embedding into N = 8, 6, 4, 2 supergravity, its spectrum of quadratic fluctuations in all these environments, and the resulting quantum corrections. We find that the canomaly vanishes only when N ≥ 6, in contrast to the BPS branch where c vanishes for all N ≥ 2. We briefly discuss potential repercussions this feature could have in a microscopic description of these black holes.},
doi = {10.1007/jhep05(2018)079},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2018,
place = {United States},
year = {2018},
month = {5}
}