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Twisting and localization in supergravity: Equivariant cohomology of BPS black holes

Research output: Contribution to journalArticle

Imtak Jeon, Sameer Murthy

Original languageEnglish
Article numberJHEP03(2019)140
JournalJournal of High Energy Physics
Volume2019
Issue number3
DOIs
Publication statusPublished - 1 Mar 2019

King's Authors

Abstract

We develop the formalism of super symmetric localization in super gravity using the deformed BRST algebra defined in the presence of a super symmetric background as recently formulated in� [1]. The gravitational functional integral localizes onto the co homology of a global supercharge Qeq, obeying Q2 eq = H, where H is a global symmetry of the background. Our construction naturally produces a twisted version of super gravity whenever super symmetry can be realized off-shell. We present the details of the twisted graviton multiplet and ghost fields for the superconformal formulation of four-dimensional N = 2 super gravity. As an application of our formalism, we systematize the computation of the exact quantum entropy of supersymmetric black holes. In particular, we compute the one-loop determinant of the QeqV deformation operator for the off-shell uctuations of the Weyl multiplet around the AdS2 × S2 saddle. This result, which is consistent with the corresponding large-charge on-shell analysis, is needed to complete the first-principles computation of the quantum entropy.

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