Equivariant localization for D = 5 gauged supergravity
File(s)
Published version
Author(s)
Genolini, Pietro Benetti
Gauntlett, Jerome P
Jiao, Yusheng
Park, Jaeha
Sparks, James
Type
Journal Article
Abstract
We consider supersymmetric solutions of D = 5 Euclidean gauged supergravity coupled to an arbitrary number of vector multiplets. We consider solutions that admit both
the R-symmetry Killing vector, K, constructed as a bilinear in the Killing spinor, as well as an additional Killing vector ℓ. Using ℓ to perform a dimensional reduction to D = 4,
N =2 gauged supergravity, we show how the D = 5 on-shell action can be computed using equivariant localization. We illustrate the formalism with some examples, computing the
supersymmetric Casimir energy and the supersymmetric index of the dual SCFT without using the explicit supergravity solutions.
the R-symmetry Killing vector, K, constructed as a bilinear in the Killing spinor, as well as an additional Killing vector ℓ. Using ℓ to perform a dimensional reduction to D = 4,
N =2 gauged supergravity, we show how the D = 5 on-shell action can be computed using equivariant localization. We illustrate the formalism with some examples, computing the
supersymmetric Casimir energy and the supersymmetric index of the dual SCFT without using the explicit supergravity solutions.
Date Issued
2026-03-09
Date Acceptance
2026-01-19
Citation
Journal of High Energy Physics (JHEP), 2026, 2026 (3)
ISSN
1126-6708
Publisher
SpringerOpen
Journal / Book Title
Journal of High Energy Physics (JHEP)
Volume
2026
Issue
3
Copyright Statement
© The Authors. Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
License URL
Publication Status
Published
Article Number
80
Date Publish Online
2026-03-09