Journal article
Odd-dimensional localization in supergravity
- Abstract:
- We establish a localization principle for odd-dimensional supergravity theories containing ChernSimons interactions. Our construction relies on combining an equivariant extension of the gaugeinvariant part of the action with an equivariant completion of the Chern–Simons anomaly form Φ(anom) to form a relative equivariant cohomology class. This leads to a universal fixed point formula for the on-shell action of supersymmetric solutions that is expressed in terms of Φ(anom) and an equivariant Euler class. We illustrate the formalism in D = 11 and D = 5 supergravity, with applications including the supersymmetric Casimir energy and superconformal index of M5-branes, as well as black ring and black lens solutions.
- Publication status:
- Accepted
- Peer review status:
- Peer reviewed
Actions
Authors
+ Science and Technology Facilities Council
More from this funder
- Funder identifier:
- https://ror.org/057g20z61
- Grant:
- ST/Y509462/1
- Publisher:
- American Physical Society
- Journal:
- Physical Review D More from this journal
- Acceptance date:
- 2026-10-28
- EISSN:
-
2470-0029
- ISSN:
-
2470-0010
- Language:
-
English
- Pubs id:
-
2489165
- Local pid:
-
pubs:2489165
- Deposit date:
-
2026-10-28
- ARK identifier:
If you are the owner of this record, you can report an update to it here: Report update to this record