Equivariant Localization in Supergravity

Explore a detailed physics seminar where Professor Jerome Gauntlett from Imperial College London delves into equivariant localization in supergravity and its applications to black hole studies. Learn how supersymmetric supergravity solutions with R-symmetry Killing vectors contain equivariantly closed forms, and discover the application of the Berline-Vergne-Atiyah-Bott fixed point theorem in computing holographic observables such as central charges, on-shell actions, and black hole entropies without solving complex supergravity equations. Understand how these theoretical findings explain existing literature results and enable new calculations for previously intractable solutions in theoretical physics.