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

par Henneaux, Marc ;Pérez, Alfredo;Tempo, David;Troncoso, Ricardo
Référence Journal of High Energy Physics, 2013, 12, 048
Publication Publié, 2013-12-09

Article révisé par les pairs

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Résumé :

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 WN or W ∞ asymptotic algebra, which is obviously unchanged by the introduction of the chemical potentials. Our argument is not perturbative in the chemical potentials. © 2013 The Author(s).