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arXiv · hep-th/0109220

Local symmetries of the non-Abelian two-form

Amitabha Lahiri
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Abstract

It is proposed that a non-Abelian adjoint two-form in BF type theories transform inhomogeneously under the gauge group. The resulting restrictions on invariant actions are discussed. The auxiliary one-form which is required for maintaining vector gauge symmetry transforms like a second gauge field, and hence cannot be fully absorbed in the two-form. But it can be replaced, via a vector gauge transformation, by the usual gauge field, leading to gauge equivalences between different types of theories. A new type of symmetry also appears, one which depends on local functions but cannot be generated by constraints. It is connected to the identity in the limit of a vanishing global parameter, so it should be called a semiglobal symmetry. The corresponding conserved currents and BRST charges are parametrized by the space of flat connections.

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Amitabha Lahiri. 2001-10-15. Local symmetries of the non-Abelian two-form. https://doi.org/10.1088/0305-4470%2F35%2F41%2F310

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