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

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 m...

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Published inPhysics of particles and nuclei Vol. 41; no. 6; pp. 976 - 979
Main Author Reshetnyak, A. A.
Format Journal Article
LanguageEnglish
Published Dordrecht SP MAIK Nauka/Interperiodica 01.11.2010
Subjects
ANTI DE SITTER SPACE
GAUGE INVARIANCE
IRREDUCIBLE REPRESENTATIONS
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
NONLINEAR PROBLEMS
Particle and Nuclear Physics
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Session “Quantum Field Theory and Theory of Elementary Particles”
SUPERSTRING THEORY
Unitary Irreducible Representation
Class Constraint
Verma Module
Young Tableau
High Spin
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Summary: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.
ISSN:1063-7796
1531-8559
DOI:10.1134/S1063779610060341