Point Mass Geometries, Spectral Flow and AdS_3-CFT_2 Correspondence

Details Point Mass Geometries, Spectral Flow and AdS_3-CFT_2 Correspondence Point Mass Geometries, Spectral Flow and AdS_3-CFT_2 Correspondence

1999-06-15

arxiv.org/abs/hep-th/9906112v1

Nucl.Phys. B564 (2000) 128-141

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, latex, no figures

Scientific paper

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.

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