skip to content

Un-twisting the NHEK with spectral flows

Presented by: 
M Guica Université Pierre et Marie Curie
Monday 28th May 2012 - 16:45 to 17:30
Schroedinger spacetimes geometrically realize the nonrelativistic conformal group, reason for which they have been proposed as holographic duals to strongly coupled non-relativistic CFTs. On the other hand, it has been recently shown that black holes in three-dimensional Schroedinger spacetimes exhibit a previously unknown Virasoro asymptotic symmetry, which is indicative of a full conformal symmetry. To uncover it, I will construct a Fefferman-Graham-like expansion for the relevant modes in asymptotically three-dimensional Schroedinger spacetimes by mapping them to an auxiliary AdS(3) spacetime, and show that the renormalized on-shell action for these modes is identical to the one for the gravity modes in the auxiliary AdS(3). The holographic stress-energy tensor one obtains by this procedure is symmetric, conserved and its trace yields the same conformal anomaly as in AdS(3).
The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons