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  • Letter
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Higher derivative corrections and AdS5 black holes

Nikolay Bobev, Vasil Dimitrov, Valentin Reys, and Annelien Vekemans

  • Instituut voor Theoretische Fysica, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium

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Phys. Rev. D 106, L121903 – Published 23 December, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L121903

Abstract

Using recent results in four-derivative 5d N=2 minimal gauged supergravity, we evaluate the regularized on-shell action of the Euclidean solution in this theory that admits a Lorentzian continuation to an AdS5 black hole with one electric charge and two angular momenta. We focus on the supersymmetric limit of this solution and employ holography to show that the result can be expressed purely in terms of angular momentum fugacities and the ’t Hooft anomalies for the U(1)R R symmetry of the dual 4d N=1 superconformal field theory. This holographic calculation is in perfect agreement with recent studies of the 4d N=1 superconformal index “on the second sheet.” We illustrate the utility of these results in two classes of 4d N=1 holographic SCFTs that have ’t Hooft anomalies with suitable large-N behavior that leads to nontrivial corrections at first subleading order in the 1/N expansion. We also explicitly calculate the Wald entropy of the black hole solution and delineate the leading four-derivative corrections to the Bekenstein-Hawking entropy.

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Information

Phys. Rev. D 106, L121903– Published 23 December, 2022
  • Received 5 October 2022
  • Accepted 23 November 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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