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Chemical potentials in three-dimensional higher spin anti-de Sitter gravity

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arxiv 1309.4362 v3 pith:WOEEJXM4 submitted 2013-09-17 hep-th gr-qc

Marc Henneaux , Alfredo Perez , David Tempo , Ricardo Troncoso This is my paper · ORCID
classification hep-thgr-qc
keywords chemicalhigherspinpotentialsgravityanti-deasymptoticcase
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We indicate how to introduce chemical potentials for higher spin charges in higher spin anti-de Sitter gravity in a manner that manifestly preserves the original asymptotic W-symmetry. This is done by switching on a non-vanishing component of the connection along the temporal (thermal) circles. We first recall the procedure in the pure gravity case (no higher spin) where the only "chemical potentials" are the temperature and the chemical potential associated with the angular momentum. We then generalize to the higher spin case. We find that there is no tension with the W(N) or W(infinity) asymptotic algebra, which is obviously unchanged by the introduction of the chemical potentials. Our argument is non-perturbative.

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Cited by 3 Pith papers

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