Event type
Event date
Venue
GAP room
Speaker
Jan Gutowski (Surrey U.)
Abstract: Recent progress has been made in the analysis of supergravity solutions. It can be shown that for a large class of solutions, the conditions imposed by supersymmetry are equivalent to determining the zero modes of various types of Dirac operators, by an extension of the classical Lichnerowicz theorem. Hence the number of supersymmetries are constrained by index theory. For near-horizon black hole geometries, this mechanism produces symmetry enhancement.