Hidden symmetries as a black hole solution generating technique

KTH/Nordita/SU seminar in Theoretical Physics [before December 2013]

Monday 18 May 2009
from 15:30
to 16:30 at
A5:1041 (CoPS group room)

Speaker :

Ella Jamsin (Brussels)

Abstract :

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.