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

Imtak Jeon, Sameer Murthy

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


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.

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


  • Black Holes in String Theory
  • BRST Quantization
  • Gauge-gravity Correspondence


Dive into the research topics of 'Twisting and localization in supergravity: Equivariant cohomology of BPS black holes'. Together they form a unique fingerprint.

Cite this