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New boundary conditions for AdS3

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Abstract

New chiral boundary conditions are found for quantum gravity with matter on AdS3. The associated asymptotic symmetry group is generated by a single right-moving U(1) Kac-Moody-Virasoro algebra with \( {c_R}=\frac{{3\ell }}{2G } \). The Kac-Moody zero mode generates global left-moving translations and equals, for a BTZ black hole, the sum of the total mass and spin. The level is positive about the global vacuum and negative in the black hole sector, corresponding to ergosphere formation. Realizations arising in Chern-Simons gravity and string theory are analyzed. The new boundary conditions are shown to naturally arise for warped AdS3 in the limit that the warp parameter is taken to zero.

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Authors and Affiliations

  1. Center for the Fundamental Laws of Nature, Dept. of Physics, Harvard University, Jefferson 470, 17 Oxford Street, Cambridge, MA, 02138, U.S.A

    Geoffrey Compère, Wei Song & Andrew Strominger

  2. Physique Théorique et Mathématique, Université Libre de Bruxelles, Campus Plaine, CP 231, 1050, Bruxelles, Belgium

    Geoffrey Compère

  3. Radcliffe Institute for Advanced Study, 10 Garden St, Cambridge, MA, 02138, U.S.A

    Andrew Strominger

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  1. Geoffrey Compère
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  2. Wei Song
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  3. Andrew Strominger
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Correspondence to Geoffrey Compère.

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ArXiv ePrint: 1303.2662

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Compère, G., Song, W. & Strominger, A. New boundary conditions for AdS3 . J. High Energ. Phys. 2013, 152 (2013). https://doi.org/10.1007/JHEP05(2013)152

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