Abstract
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 ℍ2 × 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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ArXiv ePrint: 1908.05696
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Hristov, K., Lodato, I. & Reys, V. One-loop determinants for black holes in 4d gauged supergravity. J. High Energ. Phys. 2019, 105 (2019). https://doi.org/10.1007/JHEP11(2019)105
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DOI: https://doi.org/10.1007/JHEP11(2019)105