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arXiv · 1908.05696

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

Kiril Hristov·Ivano Lodato·Valentin Reys
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Abstract

We continue the effort of defining and evaluating the quantum entropy function for supersymmetric black holes in 4d ${\cal N} = 2$ gauged supergravity, initiated in [1803.05920]. 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 $\mathbb{H}_2 \times \Sigma_{\rm g}$ 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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Kiril Hristov, Ivano Lodato, Valentin Reys. 2019-08-15. One-loop determinants for black holes in 4d gauged supergravity. https://doi.org/10.1007/jhep11(2019)105

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