Freedman-Townsend vertex from Hamiltonian BRST cohomology

Abstract

Consistent interactions among a set of two-form gauge fields in four dimensions are derived along a Hamiltonian cohomological procedure. It is shown that the deformation of the BRST charge and BRST-invariant Hamiltonian for the free model leads to the Freedman-Townsend interaction vertex. The resulting interaction deforms both the gauge transformations and reducibility relations, but not the algebra of gauge transformations.

Latex 2.09, 16 pages, some errors in a few formulas corrected, two more references added, main conclusions and results unaffected, the final form to appear in Class. Quantum Grav

References in corpus (2)

• On Chapline-Manton couplings: a cohomological approach
• On the `Irreducible' Freedman-Townsend Vertex

Cited by in corpus (5)

• Seiberg-Witten maps from the point of view of consistent deformations of gauge theories
• Hamiltonian BRST deformation of a class of n-dimensional BF-type theories
• Note on two-dimensional nonlinear gauge theories
• Lagrangian cohomological couplings among vector fields and matter fields
• PT-symmetry breaking hamiltonian interactions in BF models