Equivariant Localization in Supergravity

by Jerome Gauntlett (Imperial College London)

Wednesday 7 May 2025, 14:30 → 16:30 Europe/Rome

1/1-2 - Aula "C. Voci" (Dipartimento di Fisica e Astronomia - Edificio Marzolo)

It is recently been appreciated that supersymmetric solutions of supergravity theories with an R-symmetry admit a set equivariantly closed differential forms. This allows one to compute certain physical observables, using the Berline-Vergne-Atiyah-Bott fixed point theorem, without having an explicit solution at all, but instead by just inputting some topological information and assuming the solution exists. We illustrate the formalism by explaining how to compute the entropy of infinite classes of supersymmetric black holes in AdS, providing a generalisation of the attractor mechanism,
as well as the holographic free energies of d=3 SCFTs on curved manifolds with general topology and general supersymmetric deformations.