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

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Abstract

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 ∞ asymptotic algebra, which is obviously unchanged by the introduction of the chemical potentials. Our argument is not perturbative in the chemical potentials.

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Authors and Affiliations

  1. Physique théorique et mathématique and International Solvay Institutes, Université Libre de Bruxelles, Campus Plaine C.P.231, B-1050, Bruxelles, Belgium

    Marc Henneaux

  2. Centro de Estudios Científicos (CECs), Casilla 1469, Valdivia, Chile

    Marc Henneaux, Alfredo Pérez, David Tempo & Ricardo Troncoso

  3. Universidad Andrés Bello, Av. República 440, Santiago, Chile

    Ricardo Troncoso

Authors
  1. Marc Henneaux
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  2. Alfredo Pérez
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  3. David Tempo
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  4. Ricardo Troncoso
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Correspondence to Alfredo Pérez.

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ArXiv ePrint: 1309.4362

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Henneaux, M., Pérez, A., Tempo, D. et al. Chemical potentials in three-dimensional higher spin anti-de Sitter gravity. J. High Energ. Phys. 2013, 48 (2013). https://doi.org/10.1007/JHEP12(2013)048

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  • DOI: https://doi.org/10.1007/JHEP12(2013)048

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