PIRSA:25100141 Scientific Series Quantum Fields and Strings

DOI10.48660/25100141

Series: Quantum Fields and Strings

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

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

@misc{ pirsa_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},
  year = {2025},
  month = {oct},
  note = {PIRSA:25100141 see, \url{https://pirsa.org}}
}

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.

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