Speaker
Christopher Couzens
Description
We consider a class of supersymmetric AdS_3 x Y_7 solutions of Type IIB supergravity holographically dual to 2d (0,2) SCFTs. We show that the R-symmetry and central charge may be computed by extremizing a certain functional depending on only global topological data. In particular, assuming such a solution exists, we may calculate its central charge without knowledge of an explicit metric. We will interpret this as the geometric dual to c-extremization. Finally we will comment on some obstruction results which shed light on a previously noted issue in the literature.