Point mass geometries, spectral flow and AdS3–CFT2 correspondence

David, Justin R. ; Mandal, Gautam ; Vaidya, Sachindeo ; Wadia, Spenta R. (2000) Point mass geometries, spectral flow and AdS3–CFT2 correspondence Nuclear Physics B, 564 (1-2). pp. 128-141. ISSN 0550-3213

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Official URL: http://doi.org/10.1016/S0550-3213(99)00621-5

Related URL: http://dx.doi.org/10.1016/S0550-3213(99)00621-5


We discuss, in terms of the AdS3–CFT2 correspondence, a one-parameter family of (asymptotically AdS3) conical geometries which are generated by point masses and interpolate between AdS3 and BTZ space-times. We show that these correspond to spectral flow in SCFT2 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)×SU(1,1|2). The boundary SCFT 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, and a concrete proposal for representing the point mass by a vertex operator in the SCFT.

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