Point Mass Geometries, Spectral Flow and AdS_3-CFT_2 Correspondence

TL;DR

This paper explores a family of conical geometries in AdS_3 generated by point masses, connecting them to spectral flow in N=(4,4) SCFT_2, and compares their Euclidean free energies in supergravity and CFT frameworks.

Contribution

It introduces a new family of geometries interpolating between AdS_3 and BTZ, linking them to spectral flow in SCFT_2, and demonstrates their properties through supergravity solutions and free energy comparisons.

Findings

Conical geometries correspond to spectral flow in SCFT_2.

The geometries interpolate between AdS_3 and BTZ spacetimes.

Matching of Euclidean free energies confirms the 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.