Towards Lagrangian formulations of mixed-symmetry Higher Spin Fields on AdS-space within BFV-BRST formalism

Abstract

The spectrum of superstring theory on the $Ad{S}_5\times S_5$ 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.

Slightly enlarged contribution to the Proceedings of the International Bogolyubov Conference-2009 "Problems of Theoretical and Mathematical Physics", Moscow - Dubna, August 21 - 27, 2009, 9 pages, no figures

References in corpus (3)

• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields
• Connecting the Direct Detection of Dark Matter with Observation of Sparticles at the LHC