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Title: Non-renormalization for non-supersymmetric black holes

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 = 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.
Authors:
 [1] ;  [1] ;  [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Physics. Michigan Center for Theoretical Physics
Publication Date:
Grant/Contract Number:
FG02-95ER40899
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; black holes; black holes in string theory; supersymmetry and duality; extended supersymmetry
OSTI Identifier:
1424589

Charles, Anthony M., Larsen, Finn, and Mayerson, Daniel R.. Non-renormalization for non-supersymmetric black holes. United States: N. p., Web. doi:10.1007/JHEP08(2017)048.
Charles, Anthony M., Larsen, Finn, & Mayerson, Daniel R.. Non-renormalization for non-supersymmetric black holes. United States. doi:10.1007/JHEP08(2017)048.
Charles, Anthony M., Larsen, Finn, and Mayerson, Daniel R.. 2017. "Non-renormalization for non-supersymmetric black holes". United States. doi:10.1007/JHEP08(2017)048. https://www.osti.gov/servlets/purl/1424589.
@article{osti_1424589,
title = {Non-renormalization for non-supersymmetric black holes},
author = {Charles, Anthony M. and Larsen, Finn and Mayerson, Daniel R.},
abstractNote = {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 = 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.},
doi = {10.1007/JHEP08(2017)048},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2017,
place = {United States},
year = {2017},
month = {8}
}