Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Point Mass Geometries, Spectral Flow and AdS_3-CFT_2 Correspondence

Justin R. David, Gautam Mandal, Sachindeo Vaidya, Spenta R. Wadia

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.

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.

Paper Structure

This paper contains 6 sections, 59 equations.

Table of Contents

  1. Introduction and Summary
  2. Conical spaces as solutions of supergravity based on ${\cal G}$
  3. Correspondence with spectral flow
  4. The Euclidean free energy of asymptotically AdS$_3$ solutions
  5. The partition function from the CFT
  6. Concluding remarks