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BTZ black hole as a solution of a higher-spin gauge theory in three-dimensional space-time

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Abstract

We show that the BTZ black hole is an exact solution of a higher-spin gauge theory in three-dimensional space-time. We find solutions for free massless fields in the black-hole metric using the star algebra formalism underlying the higher-spin theory. We find that some of the higher-spin symmetries remain unbroken for special values of the BTZ parameters.

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Authors and Affiliations

  1. Lebedev Physical Institute, RAS, Moscow, Russia

    M. A. Vasiliev, V. E. Didenko & A. S. Matveev

  2. Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi”, Rome, Italy

    V. E. Didenko & A. S. Matveev

Authors
  1. M. A. Vasiliev
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  2. V. E. Didenko
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  3. A. S. Matveev
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Correspondence to M. A. Vasiliev.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 153, No. 2, pp. 158–185, November, 2007.

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Vasiliev, M.A., Didenko, V.E. & Matveev, A.S. BTZ black hole as a solution of a higher-spin gauge theory in three-dimensional space-time. Theor Math Phys 153, 1487–1510 (2007). https://doi.org/10.1007/s11232-007-0130-0

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  • DOI: https://doi.org/10.1007/s11232-007-0130-0

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