Journal article
Equivariant localization for D=5 gauged supergravity
- 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. Using $\ell$ 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 834.1KB, Terms of use)
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- Publisher copy:
- 10.1007/jhep03(2026)080
Authors
+ Science and Technology Facilities Council
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- Funder identifier:
- https://ror.org/057g20z61
- Grant:
- ST/X000761/1
- Publisher:
- Springer Nature
- Journal:
- Journal of High Energy Physics More from this journal
- Volume:
- 2026
- Issue:
- 3
- Article number:
- 80
- Publication date:
- 2026-03-09
- Acceptance date:
- 2026-01-05
- DOI:
- EISSN:
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1029-8479
- ISSN:
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1126-6708
- Language:
-
English
- Keywords:
- Pubs id:
-
2359996
- Local pid:
-
pubs:2359996
- Deposit date:
-
2026-01-16
- ARK identifier:
Terms of use
- Copyright holder:
- Genolini et al
- Copyright date:
- 2026
- Rights statement:
- © The Authors 2026. 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.
- Licence:
- CC Attribution (CC BY)
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