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Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime

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Abstract

Nonabelian Fradkin-Vasiliev cubic interactions for dual-graviton-like gauge fields with gravity and themselves are constructed in anti-de Sitter spacetime. The Young diagrams of gauge potentials have shapes of “tall-hooks”, i.e. two columns the second of height one.

The underlying nonabelian algebra is a Clifford algebra with the anti-de Sitter signature. We also discuss the universal enveloping realization of higher-spin algebras, showing that there is a one-parameter family of algebras compatible with unitarity, which is reminiscent of d = 3 deformed oscillators.

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Authors and Affiliations

  1. Service de Mécanique et Gravitation, Université de Mons — UMONS, 20 Place du Parc, 7000, Mons, Belgium

    Nicolas Boulanger

  2. P.N. Lebedev Physical Institute, Leninsky prospect 53, 119991, Moscow, Russia

    E. D. Skvortsov

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  1. Nicolas Boulanger
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  2. E. D. Skvortsov
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Correspondence to E. D. Skvortsov.

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ArXiv ePrint: 1107.5028

Research Associate of the Fund for Scientific Research-FNRS (Belgium). (Nicolas Boulanger)

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Boulanger, N., Skvortsov, E.D. Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime. J. High Energ. Phys. 2011, 63 (2011). https://doi.org/10.1007/JHEP09(2011)063

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