BRST approach to Lagrangian formulation of bosonic totally antisymmeric tensor fields in curved space

Abstract

We apply the BRST approach, previously developed for higher spin field theories, to gauge invariant Lagrangian construction for antisymmetric massive and massless bosonic fields in arbitrary d-dimensional curved space. The obtained theories are reducible gauge models both in massless and massive cases and the order of reducibility grows with the value of the rank of the antisymmetric field. In both the cases the Lagrangians contain the sets of auxiliary fields and possess more rich gauge symmetry in comparison with standard Lagrangian formulation for the antisymmetric fields. This serves additional demonstration of universality of the BRST approach for Lagrangian constructions in various field models.

12 pages

References in corpus (8)

• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Quartet unconstrained formulation for massless higher spin fields
• Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields
• Gauge invariant Lagrangian construction for massive higher spin fermionic fields
• Interacting Higher Spins and the High Energy Limit of the Bosonic String
• On Lagrangian formulation of Higher Spin Theories on AdS

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• On manifolds admitting the consistent Lagrangian formulation for higher spin fields
• Note on antisymmetric spin-tensors
• BRST Lagrangian construction for spin-2 field in Einstein space
• Gauge Invariant Lagrangian Formulations for Mixed Symmetry Higher Spin Bosonic Fields in AdS Spaces