PIRSA:25100141

Equivariant Localization in Supergravity

APA

Gauntlett, J. (2025). Equivariant Localization in Supergravity. Perimeter Institute for Theoretical Physics. https://pirsa.org/25100141

MLA

Gauntlett, Jerome. Equivariant Localization in Supergravity. Perimeter Institute for Theoretical Physics, Oct. 06, 2025, https://pirsa.org/25100141

BibTex

          @misc{ scivideos_PIRSA:25100141,
            doi = {10.48660/25100141},
            url = {https://pirsa.org/25100141},
            author = {Gauntlett, Jerome},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Equivariant Localization in Supergravity},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2025},
            month = {oct},
            note = {PIRSA:25100141 see, \url{https://scivideos.org/index.php/pirsa/25100141}}
          }
          

Jerome Gauntlett Imperial College London

Talk numberPIRSA:25100141
Source RepositoryPIRSA

Abstract

Important BPS quantities, including central charges, black hole entropy and
the on-shell action, can be computed for supersymmetric solutions of supergravity without ever solving the Einstein equations or the Killing spinor equations. Instead one exploits the fact that the solutions have a Killing vector and a set of equivariantly closed forms. This allows one to compute just by inputting some global data and utilising the Berligne-Verne-Atiyah-Bott localisation theorem. We explain the formalism and illustrate with some examples focusing on computing the on-shell action for D=4 and D=5 gauged supergravity theories.