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Conformal higher-spin gravity: linearized spectrum = symmetry algebra

  • Regular Article - Theoretical Physics
  • Open access
  • Published: 27 November 2018
  • volume 2018, Article number: 167 (2018)
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Journal of High Energy Physics Aims and scope Submit manuscript
Conformal higher-spin gravity: linearized spectrum = symmetry algebra
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  • Thomas Basile1,
  • Xavier Bekaert2 &
  • Euihun Joung1 

  • 257 Accesses

  • 7 Citations

  • 2 Altmetric

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A preprint version of the article is available at arXiv.

Abstract

The linearized spectrum and the algebra of global symmetries of conformal higher-spin gravity decompose into infinitely many representations of the conformal algebra. Their characters involve divergent sums over spins. We propose a suitable regularization adapted to their evaluation and observe that their characters are actually equal. This result holds in the case of type-A and type-B (and their higher-depth generalizations) theories and confirms previous observations on a remarkable rearrangement of dynamical degrees of freedom in conformal higher-spin gravity after regularization.

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Authors and Affiliations

  1. Department of Physics and Research Institute of Basic Science, Kyung Hee University, Seoul, 02447, Korea

    Thomas Basile & Euihun Joung

  2. Institut Denis Poisson, Université de Tours, Université d’Orléans, CNRS, Parc de Grandmont, 37200, Tours, France

    Xavier Bekaert

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  1. Thomas Basile
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ArXiv ePrint: 1808.07728

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Basile, T., Bekaert, X. & Joung, E. Conformal higher-spin gravity: linearized spectrum = symmetry algebra. J. High Energ. Phys. 2018, 167 (2018). https://doi.org/10.1007/JHEP11(2018)167

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  • Received: 14 September 2018

  • Accepted: 09 November 2018

  • Published: 27 November 2018

  • DOI: https://doi.org/10.1007/JHEP11(2018)167

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Keywords

  • Conformal Field Theory
  • Higher Spin Gravity
  • Higher Spin Symmetry
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