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Local symmetries of the non-Abelian two-form

2001/09/30 by Amitabha Lahiri · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/0305-4470/35/41/310

published as J.Phys.A35:8779-8792,2002 · RevTeX4, 11 pages, minor corrections

arxiv created 2001/10/15 · openalex publication_date 2002/10/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

An inhomogeneous gauge transformation law for non-Abelian two-forms in B ^ 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.

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