Generalized couplings between an Abelian $p$-form and a (3,1) mixed symmetry tensor field

Abstract

The consistent interactions between a single, free, massless tensor gauge field with the mixed symmetry $(3,1)$ and an Abelian $p$-form are investigated in the framework of the BRST formalism combined with cohomological techniques. Under the assumptions on smoothness, locality, Lorentz covariance, and Poincaré invariance of the deformations, supplemented by the requirement that the interacting Lagrangian is at most second-order derivative, it is proved that for every value $p\ge 1$ of the form degree there are consistent couplings between the Abelian form and the massless $(3,1)$ gauge field.

24 pages; some minor typos corrected

References in corpus (13)

• Local BRST cohomology in gauge theories
• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• Exotic tensor gauge theory and duality
• Consistent deformations of dual formulations of linearized gravity: A no-go result
• On the mixed symmetry irreducible representations of the Poincare group in the BRST approach
• All consistent interactions for exterior form gauge fields
• 7D Bosonic Higher Spin Theory: Symmetry Algebra and Linearized Constraints
• On Massive Mixed Symmetry Tensor Fields in Minkowski Space and (A)dS
• Parity violating vertices for spin-3 gauge fields
• First Order Formalism for Massive Mixed Symmetry Tensor Fields in Minkowski and (A)dS Spaces
• Duality for symmetric second rank tensors. II. The linearized gravitational field
• Dual theories for mixed symmetry fields. Spin-two case: (1,1) versus (2,1) Young symmetry type fields
• Couplings between a single massless tensor field with the mixed symmetry (3,1) and one vector field