Couplings between a single massless tensor field with the mixed symmetry (3,1) and one vector field

Abstract

Under the hypotheses of smoothness in the coupling constant, locality, Lorentz covariance, and Poincare invariance of the deformations, combined with the preservation of the number of derivatives on each field, the consistent interactions between a single free massless tensor gauge field with the mixed symmetry of a two-column Young diagram of the type (3,1) and one Abelian vector field have been investigated. The computations are done with the help of the deformation theory based on a cohomological approach, in the context of the antifield-BRST formalism. The main result is that there exist nontrivial cross-couplings between these types of fields in five spatiotemporal dimensions, which break the PT invariance and allow for the deformation of the gauge transformations of the vector field, but not of the gauge algebra.

LaTeX, 34 pages

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Cited by in corpus (6)

• Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model
• Gauge-invariant massive BF models
• No cross-interactions among different tensor fields with the mixed symmetry (3,1) intermediated by a vector field
• Dual linearized gravity in D=6 coupled to a purely spin-two field of mixed symmetry (2,2)
• Generalized couplings between an Abelian $p$-form and a (3,1) mixed symmetry tensor field
• Yes-go cross-couplings in collections of tensor fields with mixed symmetries of the type (3,1) and (2,2)