TH String Theory Seminar
The supersymmetric nuts and bolts of AdS/CFT
by
→
Europe/Zurich
4/3-006 - TH Conference Room (CERN)
Description
We show that a given conformal boundary can have a rich and intricate space of supersymmetric supergravity solutions filling it, focusing on the case where this conformal boundary is a biaxially squashed Lens space. For example, the squashed three-sphere has a 1/4 BPS Taub-NUT-AdS filling, with topology R^4, but also three inequivalent supersymmetric Taub-Bolt-AdS solutions with non-trivial topology. We show that the Taub-NUT-AdS solutions generically lift to solutions of M-theory, and correspondingly that the gravitational free energy then agrees with the large N limit of the dual field theory free energy obtained from the localized partition function of a class of Chern-Simons-matter theories. However, the solutions of Taub-Bolt-AdS type only lift for appropriate classes of internal manifold, meaning that the supersymmetric phase transitions we find can occur only for certain special classes of three-dimensional N=2 field theories.