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Towards Lagrangian formulations of mixed-symmetry higher spin fields on AdS-space within BFV-BRST formalism

  • Session “Quantum Field Theory and Theory of Elementary Particles”
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Abstract

The spectrum of superstring theory on the AdS 5 × S 5 Ramond-Ramond background in tensionless limit contains integer and half-integer higher-spin fields subject at most to two-rows Young tableaux Y(s 1, s 2). We review the details of a gauge-invariant Lagrangian description of such massive and massless higher-spin fields in anti-de-Sitter spaces with arbitrary dimensions. The procedure is based on the construction of Verma modules, its oscillator realizations and of a BFV-BRST operator for non-linear algebras encoding unitary irreducible representations of AdS group.

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Authors and Affiliations

  1. Institute of Strength Physics and Materials Science, 634021, Tomsk, Russia

    A. A. Reshetnyak

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  1. A. A. Reshetnyak
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Talk on the International Bogolyubov Conference-2009 “Problems of Theoretical and Mathematical Physics,” Moscow-Dubna, August 21–27, 2009.

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Reshetnyak, A.A. Towards Lagrangian formulations of mixed-symmetry higher spin fields on AdS-space within BFV-BRST formalism. Phys. Part. Nuclei 41, 976–979 (2010). https://doi.org/10.1134/S1063779610060341

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