2d (super)gravity and exceptional geometry
Upon torus reduction to two dimensions, (super)gravity theories exhibit an infinite-dimensional group of global symmetries – such as the Geroch group for GR, and E9 for maximal supergravity. These symmetries can be gauged to give rise to more non-trivial dynamics, possibly reflecting flux compactifications on complicated backgrounds. For instance, AdS2 solutions in 2d gauged supergravity may arise from reduction on the compact part of black hole near-horizon geometries. The full structure of these gauged models has so far been elusive and little is known about the flux compactifications leading to them.
I will describe the construction of exceptional field theory for affine Lie algebras, a formalism that promotes the (Geroch/E9) symmetries of 2d (super)gravity to formal invariances of their higher-dimensional parent theories, which greatly simplifies the study of certain classes of flux compactifications and should help us complete the construction of the associated two-dimensional gauged models.
Zoom Meeting ID: 998-7902-413017th of November 2020, 14:30