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Twisted Flato-Fronsdal theorem for higher-spin algebras

Journal of High Energy Physics volume 2018, Article number: 9 (2018) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We explore the relation between the singleton and adjoint modules of higher-spin algebras via so(2, d) characters. In order to relate the tensor product of the singleton and its dual to the adjoint module, we consider a heuristic formula involving symmetrization over the variables of the character. We show that our formula reproduces correctly the adjoint-module character for type-A (and its high-order extensions) and type-B higher-spin gravity theories in any dimension. Implications and subtleties of this symmetrization prescription in other models are discussed.

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  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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Basile, T., Bekaert, X. & Joung, E. Twisted Flato-Fronsdal theorem for higher-spin algebras. J. High Energ. Phys. 2018, 9 (2018). https://doi.org/10.1007/JHEP07(2018)009

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Keywords

  • Higher Spin Gravity
  • Higher Spin Symmetry