Non-renormalization for non-supersymmetric black holes
Abstract We analyze large logarithmic corrections to 4D black hole entropy and relate them to the Weyl anomaly. We use duality to show that counter-terms in EinsteinMaxwell theory can be expressed in terms of geometry alone, with no dependence on matter terms. We analyze the two known N $$ \mathcal{...
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Format: | Article |
Language: | English |
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SpringerOpen
2017-08-01
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Series: | Journal of High Energy Physics |
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Online Access: | http://link.springer.com/article/10.1007/JHEP08(2017)048 |
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author | Anthony M. Charles Finn Larsen Daniel R. Mayerson |
author_facet | Anthony M. Charles Finn Larsen Daniel R. Mayerson |
author_sort | Anthony M. Charles |
collection | DOAJ |
description | Abstract We analyze large logarithmic corrections to 4D black hole entropy and relate them to the Weyl anomaly. We use duality to show that counter-terms in EinsteinMaxwell theory can be expressed in terms of geometry alone, with no dependence on matter terms. We analyze the two known N $$ \mathcal{N} $$ = 2 supersymmetric invariants for various non-supersymmetric black holes and find that both reduce to the Euler invariant. The c-anomaly therefore vanishes in these theories and the coefficient of the large logarithms becomes topological. It is therefore independent of continuous black hole parameters, such as the mass, even far from extremality. |
first_indexed | 2024-12-11T00:33:27Z |
format | Article |
id | doaj.art-82442f0a656e44f4b803821aca2fe164 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-11T00:33:27Z |
publishDate | 2017-08-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-82442f0a656e44f4b803821aca2fe1642022-12-22T01:27:15ZengSpringerOpenJournal of High Energy Physics1029-84792017-08-012017814510.1007/JHEP08(2017)048Non-renormalization for non-supersymmetric black holesAnthony M. Charles0Finn Larsen1Daniel R. Mayerson2Department of Physics and Michigan Center for Theoretical Physics, University of MichiganDepartment of Physics and Michigan Center for Theoretical Physics, University of MichiganDepartment of Physics and Michigan Center for Theoretical Physics, University of MichiganAbstract We analyze large logarithmic corrections to 4D black hole entropy and relate them to the Weyl anomaly. We use duality to show that counter-terms in EinsteinMaxwell theory can be expressed in terms of geometry alone, with no dependence on matter terms. We analyze the two known N $$ \mathcal{N} $$ = 2 supersymmetric invariants for various non-supersymmetric black holes and find that both reduce to the Euler invariant. The c-anomaly therefore vanishes in these theories and the coefficient of the large logarithms becomes topological. It is therefore independent of continuous black hole parameters, such as the mass, even far from extremality.http://link.springer.com/article/10.1007/JHEP08(2017)048Black HolesBlack Holes in String TheorySupersymmetry and DualityExtended Supersymmetry |
spellingShingle | Anthony M. Charles Finn Larsen Daniel R. Mayerson Non-renormalization for non-supersymmetric black holes Journal of High Energy Physics Black Holes Black Holes in String Theory Supersymmetry and Duality Extended Supersymmetry |
title | Non-renormalization for non-supersymmetric black holes |
title_full | Non-renormalization for non-supersymmetric black holes |
title_fullStr | Non-renormalization for non-supersymmetric black holes |
title_full_unstemmed | Non-renormalization for non-supersymmetric black holes |
title_short | Non-renormalization for non-supersymmetric black holes |
title_sort | non renormalization for non supersymmetric black holes |
topic | Black Holes Black Holes in String Theory Supersymmetry and Duality Extended Supersymmetry |
url | http://link.springer.com/article/10.1007/JHEP08(2017)048 |
work_keys_str_mv | AT anthonymcharles nonrenormalizationfornonsupersymmetricblackholes AT finnlarsen nonrenormalizationfornonsupersymmetricblackholes AT danielrmayerson nonrenormalizationfornonsupersymmetricblackholes |