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Enhanced asymptotic symmetry algebra of AdS3

High Energy Physics - Theory 2015-06-15 v3 General Relativity and Quantum Cosmology

Abstract

A generalization of the Brown-Henneaux boundary conditions is introduced for pure gravity with negative cosmological constant in 3 dimensions. This leads to new degrees of freedom and to an enhancement of the symmetry algebra. Up to the zero modes, it consists of two copies of the semi-direct product of a Virasoro algebra with a U(1) current algebra. The associated surface charge algebra now contains three non-zero central charges: the two usual Brown-Henneaux central charges and one new quantity.

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Cite

@article{arxiv.1303.3296,
  title  = {Enhanced asymptotic symmetry algebra of AdS3},
  author = {Cedric Troessaert},
  journal= {arXiv preprint arXiv:1303.3296},
  year   = {2015}
}

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19 pages