BRST approach to Lagrangian construction for fermionic massless higher spin fields

Abstract

We develop the BRST approach to Lagrangian formulation for all massless half-integer higher spin fields on an arbitrary dimensional flat space. General procedure of Lagrangian construction describing the dynamics of fermionic field with any spin is given. It is shown that in fermionic case the higher spin field model is a reducible gauge theory and the order of reducibility grows with the value of spin. No off-shell constraints on the fields and the gauge parameters are used. We prove that in four dimensions after partial gauge fixing the Lagrangian obtained can be transformed to Fang-Fronsdal form however, in general case, it includes the auxiliary fields and possesses the more gauge symmetries in compare with Fang-Fronsdal Lagrangian. As an example of general procedure, we derive the new Lagrangian for spin 5/2 field containing all set of auxiliary fields and gauge symmetries of free fermionic higher spin field theory.

24 pages; v4: Minor corrections, added references, version accepted for publication in NPB

References in corpus (9)

• An Introduction to Free Higher-Spin Fields
• First Order Formalism for Massive Mixed Symmetry Tensor Fields in Minkowski and (A)dS Spaces
• Massless Higher Spin Fields in the AdS Background and BRST Constructions for Nonlinear Algebras
• Superfield Theories in Tensorial Superspaces and the Dynamics of Higher Spin Fields
• Higher Spins and Stringy AdS5xS5
• GL Flatness of OSp(1|2n) and Higher Spin Field Theory from Dynamics in Tensorial Spaces
• Higher spin symmetry (breaking) in N=4 SYM theory and holography
• Unfolded form of conformal equations in M dimensions and o(M+2)-modules
• Loop Variables and the (Free) Open String in a Curved Background

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