BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space

Abstract

We develop a general gauge invariant Lagrangian construction for half-integer higher spin fields in the AdS space of any dimension. Starting with formulation in terms of auxiliary Fock space we derive the closed nonlinear symmetry algebras of higher spin fermionic fields in the AdS space and find the corresponding BRST operator. A universal procedure of constructing the gauge invariant Lagrangians describing the dynamics of fermionic fields of any spin is developed. No off-shell constraints for the fields and gauge parameters are imposed from the very beginning. It is shown that all the constraints determining the irreducible representation of the AdS group arise as a consequence of the equations of motion and gauge transformations. As an example of the general procedure, we derive the gauge invariant Lagrangians for massive fermionic fields of spin 1/2 and 3/2 containing the total set of auxiliary fields and gauge symmetries.

Minor changes. Version accepted for publication in NPB

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Cited by in corpus (7)

• Frame-like gauge invariant formulation for massive high spin particles
• Geometric Lagrangians for massive higher-spin fields
• Interacting Higher Spins and the High Energy Limit of the Bosonic String
• Massive N=1 supermultiplets with arbitrary superspins
• Bosonized supersymmetry from the Majorana-Dirac-Staunton theory and massive higher-spin fields
• On interactions of higher spin fields with gravity and branes in AdS_5
• Progress in Gauge Invariant Lagrangian Construction for Massive Higher Spin Fields