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Journal Articles JHEP Year : 2018

Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras

Thomas Basile
  • Function : Author
Euihun Joung
  • Function : Author

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.

Dates and versions

hal-01719627 , version 1 (28-02-2018)

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Thomas Basile, Xavier Bekaert, Euihun Joung. Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras. JHEP, 2018, 07, pp.009. ⟨10.1007/JHEP07(2018)009⟩. ⟨hal-01719627⟩
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