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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Main Authors: Anthony M. Charles, Finn Larsen, Daniel R. Mayerson
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Journal of High Energy Physics
Subjects:
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.
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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