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arXiv · hep-th/9906112

Point Mass Geometries, Spectral Flow and AdS_3-CFT_2 Correspondence

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

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Justin R. David, Gautam Mandal, Sachindeo Vaidya, Spenta R. Wadia. 1999-06-15. Point Mass Geometries, Spectral Flow and AdS_3-CFT_2 Correspondence. https://arxiv.org/abs/hep-th/9906112

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