The chiral ring of AdS3/CFT2 and the attractor mechanism

by Kyriakos Papadodimas (University of Amsterdam)

Tuesday 4 Nov 2008, 14:00 → 15:00 Europe/Zurich

TH Theory Conference Room (CERN)

I will review the results of arXiv:0809.0507 about the moduli dependence of the chiral ring in AdS3/CFT2. The chiral primary operators are sections of vector bundles, whose connection describes the operator mixing under motion on the moduli space. This connection can be exactly computed using the constraints from N = (4,4) supersymmetry. Its curvature can be determined using the tt* equations. From the spacetime point of view our analysis has the following applications. First, in a simple toy-model, we can see the matching of the attractor flow in supergravity to RG-flow in the boundary field theory perturbed by irrelevant operators, to first order away from the fixed point. Second, it allows us to compute the equivalent of Berry's phase for the internal microstates of a supersymmetric black hole.