Title: Generalizing the Brown-Henneaux type gauge/gravity duality to
higher dimensions
Abstract:
In three and two dimensions the asymptotic symmetry groups of anti-de
Sitter spaces are infnite dimensional and correspond to boundary
conformal transformations. Further insight into this property can be
gained by noting the relations AdS3 = SL(2) and AdS2 = SL(2)/SO(2), i.e.
that the asymptotic symmetries are in fact that of the Lie group SL(2).
I will briefly review the duality between asymptotically AdS3 gravity
and the boundary Liouville conformal field theory from this Lie group
theoretic point of view. I will then talk about my own work in
generalizing this duality to the cases SL(3) and SL(3)/SO(3).