Journal of High Energy Physics

, 2019:105 | Cite as

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

  • Kiril HristovEmail author
  • Ivano Lodato
  • Valentin Reys
Open Access
Regular Article - Theoretical Physics


We continue the effort of defining and evaluating the quantum entropy function for supersymmetric black holes in 4d \( \mathcal{N} \) = 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 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.


Black Holes in String Theory Supergravity Models AdS-CFT Correspondence Supersymmetric Gauge Theory 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited


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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Institute for Nuclear Research and Nuclear EnergyBulgarian Academy of SciencesSofiaBulgaria
  2. 2.Department of Physics and Center for Field Theory and Particle PhysicsFudan UniversityShanghaiChina
  3. 3.Dipartimento di FisicaUniversità di Milano–BicoccaMilanoItaly
  4. 4.INFN, sezione di Milano–BicoccaMilanoItaly

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