Topological Quantum Field Theory Seminar   RSS

17/06/2014, 11:30 — 12:30 — Room P3.10, Mathematics Building
, The Australian National University, Canberra

Holography for parallel conformal data

The Fefferman-Graham ambient metric construction, with some technical asterisks, positively resolves the Dirichlet problem for compactification of asymptotically hyperbolic Einstein metrics, the compactification that occurs in the AdS/CFT correspondence. We show that data on the conformal boundary parallel with respect to Cartan's normal conformal connection — which is nearly the same thing as a holonomy reduction of the conformal structure — can be extended (again with an asterisk) to data parallel with respect to a natural connection on a corresponding bundle over the bulk, which in particular enables holographic study of such data. As an application, we use this extension result to construct metrics of exceptional holonomy.

Note unusual day/time and room

Current organizers: Roger Picken, Marko Stošić.

FCT Project PTDC/MAT-GEO/3319/2014, Quantization and Kähler Geometry.