Local symmetries of the non-Abelian two-form. (English) Zbl 1044.81095

Summary: An inhomogeneous gauge transformation law for non-Abelian two-forms in \(B \land F\) type theories is proposed and corresponding invariant actions are discussed. The auxiliary one-form, required for maintaining vector gauge symmetry in some of these theories, transforms like a gauge field, and hence cannot be set to zero by a gauge choice. It can be set equal to the usual gauge field by a gauge choice, leading to gauge equivalences between different types of theories, those with the auxiliary field and those without. A new type of symmetry also appears in some of these theories, one which depends on local functions but cannot be generated by local constraints. The corresponding conserved currents and BRST charges are parametrized by the space of flat connections.


81T13 Yang-Mills and other gauge theories in quantum field theory
53C80 Applications of global differential geometry to the sciences
81T70 Quantization in field theory; cohomological methods
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