Point Mass Geometries, Spectral Flow and AdS_3-CFT_2 Correspondence

Abstract

We discuss, in terms of the AdS_3-CFT_2 correspondence, a one-parameter family of (asymptotically AdS_3) conical geometries which are generated by point masses and interpolate between AdS_3 and BTZ spacetimes. We show that these correspond to spectral flow in N= (4,4) SCFT_2 which interpolate between NS and R sectors. Our method involves representing the conical spaces as solutions of three-dimensional supergravity based on the supergroup SU(1,1|2) \times SU(1,1|2). The boundary CFT we use is based on the D1/D5 system. The correspondence includes comparing the Euclidean free energies between supergravity and SCFT for the family of conical spaces including BTZ black holes.

arXiv comment20 pages, latex, no figures

References in corpus (3)

• AdS3 Black Holes and a Stringy Exclusion Principle
• Supersymmetry of the 2+1 black holes
• Time-Symmetric Initial Data for Multi-Body Solutions in Three Dimensions