TOWARDS LAGRANGIAN FORMULATIONS OF MIXED-SYMMETRY HIGHER-SPIN FIELDS ON AdS-SPACE WITHIN BFV-BRST FORMALISM

摘要

The spectrum of superstring theory on the AdS_5 × S_5 Ramond-Ramond background in ten-sionless 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 nonlinear algebras encoding unitary irreducible representations of AdS group.