KTH/Nordita/SU seminar in Theoretical Physics

Hidden symmetries as a black hole solution generating technique

by Ella Jamsin (Brussels)

A5:1041 (CoPS group room) ()

A5:1041 (CoPS group room)

Over the past eight years, it has become clear that in spacetime dimensions D>4, black holes are much more complex than in D=4. Therefore powerful solution generating techniques are needed. An approach comes from the notion of hidden symmetries: upon reduction on a (D-3)-dimensional torus, some supergravities in D dimensions reveal a global symmetry under a finite Lie group G, which is larger than the expected GL(D-3,R) isometry of the torus. This hidden symmetry can be used to construct new solutions of the D-dimensional theory. In this talk, I will focus on the case of five-dimensional minimal supergravity, which, in the presence of two commuting Killing vectors, reduces to three-dimensional gravity coupled to a non-linear sigma model which is invariant under the exceptional Lie group G_2. I will show how this provides a powerful method to construct black hole solutions in five dimensions.