Gauge transformations of the non-abelian two-form. (English) Zbl 1083.81584

Summary: A novel inhomogeneous gauge transformation law is proposed for a non-Abelian adjoint two-form potential in four dimensions. Rules for constructing actions invariant under this are given. The auxiliary vector field which appears in some of these theories transforms like a second connection. Some of the actions also show a local symmetry which is not generated by any local constraint, a novelty for classical field theories. Both types of symmetries change the action by total divergences, suggesting that boundary degrees of freedom have to be taken into account for local quantization.


81T45 Topological field theories in quantum mechanics
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