Abstract
In this note we study the symmetry-breaking phases of 3D gravity coupled to matter. In particular, we consider black holes with scalar hair as a model of symmetrybreaking phases of a strongly coupled 1 + 1 dimensional CFT. In the case of a discrete symmetry, we show that these theories admit phases of broken symmetry and study the thermodynamics of these phases. We also demonstrate that the 3D Einstein-Maxwell theory shows continuous symmetry breaking at low temperature. The apparent contradiction with the Coleman-Mermin-Wagner theorem is discussed.
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ArXiv ePrint: 1011.3520
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Lashkari, N. Holographic symmetry-breaking phases in AdS3/CFT2 . J. High Energ. Phys. 2011, 104 (2011). https://doi.org/10.1007/JHEP11(2011)104
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DOI: https://doi.org/10.1007/JHEP11(2011)104