One-loop determinants for black holes in 4d gauged supergravity

Abstract We continue the effort of defining and evaluating the quantum entropy function for supersymmetric black holes in 4d N $$ \mathcal{N} $$ = 2 gauged supergravity, initiated in [1]. The emphasis here is on the missing steps in the previous localization analysis, mainly dealing with one-loop de...

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Main Authors: Kiril Hristov, Ivano Lodato, Valentin Reys
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP11(2019)105
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author Kiril Hristov
Ivano Lodato
Valentin Reys
author_facet Kiril Hristov
Ivano Lodato
Valentin Reys
author_sort Kiril Hristov
collection DOAJ
description Abstract We continue the effort of defining and evaluating the quantum entropy function for supersymmetric black holes in 4d N $$ \mathcal{N} $$ = 2 gauged supergravity, initiated in [1]. The emphasis here is on the missing steps in the previous localization analysis, mainly dealing with one-loop determinants for abelian vector multiplets and hypermultiplets on the non-compact space ℍ 2 × Σg with particular boundary conditions. We use several different techniques to arrive at consistent results, which have a most direct bearing on the logarithmic correction terms to the Bekenstein-Hawking entropy of said black holes.
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spelling doaj.art-ea845b6fd9e34b52af33066b5ff4d59c2022-12-21T17:49:46ZengSpringerOpenJournal of High Energy Physics1029-84792019-11-0120191114510.1007/JHEP11(2019)105One-loop determinants for black holes in 4d gauged supergravityKiril Hristov0Ivano Lodato1Valentin Reys2Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of SciencesDepartment of Physics and Center for Field Theory and Particle Physics, Fudan UniversityDipartimento di Fisica, Università di Milano–BicoccaAbstract We continue the effort of defining and evaluating the quantum entropy function for supersymmetric black holes in 4d N $$ \mathcal{N} $$ = 2 gauged supergravity, initiated in [1]. The emphasis here is on the missing steps in the previous localization analysis, mainly dealing with one-loop determinants for abelian vector multiplets and hypermultiplets on the non-compact space ℍ 2 × Σg with particular boundary conditions. We use several different techniques to arrive at consistent results, which have a most direct bearing on the logarithmic correction terms to the Bekenstein-Hawking entropy of said black holes.http://link.springer.com/article/10.1007/JHEP11(2019)105Black Holes in String TheorySupergravity ModelsAdS-CFT CorrespondenceSupersymmetric Gauge Theory
spellingShingle Kiril Hristov
Ivano Lodato
Valentin Reys
One-loop determinants for black holes in 4d gauged supergravity
Journal of High Energy Physics
Black Holes in String Theory
Supergravity Models
AdS-CFT Correspondence
Supersymmetric Gauge Theory
title One-loop determinants for black holes in 4d gauged supergravity
title_full One-loop determinants for black holes in 4d gauged supergravity
title_fullStr One-loop determinants for black holes in 4d gauged supergravity
title_full_unstemmed One-loop determinants for black holes in 4d gauged supergravity
title_short One-loop determinants for black holes in 4d gauged supergravity
title_sort one loop determinants for black holes in 4d gauged supergravity
topic Black Holes in String Theory
Supergravity Models
AdS-CFT Correspondence
Supersymmetric Gauge Theory
url http://link.springer.com/article/10.1007/JHEP11(2019)105
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AT valentinreys oneloopdeterminantsforblackholesin4dgaugedsupergravity