Localization of the Free Energy in Supergravity

We derive a general formula for the gravitational free energy of Euclidean supersymmetric solutions to D=4, N=2 gauged supergravity coupled to vector multiplet matter. This allows one to compute the free energy without solving any supergravity equations, just assuming the solutions exist. As well as...

Full description

Saved in:
Bibliographic Details
Published in:Physical review letters 2024-10, Vol.133 (14), p.141601, Article 141601
Main Authors: Benetti Genolini, Pietro, Gauntlett, Jerome P, Jiao, Yusheng, Lüscher, Alice, Sparks, James
Format: Article
Language:English
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We derive a general formula for the gravitational free energy of Euclidean supersymmetric solutions to D=4, N=2 gauged supergravity coupled to vector multiplet matter. This allows one to compute the free energy without solving any supergravity equations, just assuming the solutions exist. As well as recovering some known results in the literature with ease, we also present new supergravity results that match with holographically dual field theory computations.
ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.133.141601