TY - JOUR
T1 - Twisting and localization in supergravity
T2 - Equivariant cohomology of BPS black holes
AU - Jeon, Imtak
AU - Murthy, Sameer
PY - 2019/3/1
Y1 - 2019/3/1
N2 - 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.
AB - 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.
KW - Black Holes in String Theory
KW - BRST Quantization
KW - Gauge-gravity Correspondence
UR - http://www.scopus.com/inward/record.url?scp=85074278185&partnerID=8YFLogxK
U2 - 10.1007/JHEP03(2019)140
DO - 10.1007/JHEP03(2019)140
M3 - Article
AN - SCOPUS:85074278185
SN - 1126-6708
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 3
M1 - JHEP03(2019)140
ER -