BRST, anti-BRST and gerbes

2007/07/31 by L. Bonora, R. P. Malik · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Numerical methods for differential equations #hep-th

paper · pdf · doi:10.1016/j.physletb.2007.08.063

published as Phys.Lett.B655:75-79,2007 · 11 pages, typo corrected in eq.(3,8,24)

openalex publication_date 2007/09/07 · arxiv created 2009/02/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We discuss BRST and anti--BRST transformations for an Abelian antisymmetric gauge field in 4D and find that, in order for them to anticommute, we have to impose a condition on the auxiliary fields. This condition is similar to the Curci-Ferrari condition for the 4D non--Abelian 1-form gauge theories and represents a consistency requirement. We interpret it as a signal that our Abelian 2-form gauge field theory is based on gerbes. To support this interpretation we discuss, in particular, the case of the 1-gerbe for our present field theory and write the relevant equations and symmetry transformations for 2-gerbes.

Citations

• Lectures on Special Lagrangian Submanifolds

Cited by

• Nilpotent and absolutely anticommuting symmetries in the Freedman–Townsend model: Augmented superfield formalism
• (Anti-)chiral supervariable approach to nilpotent and absolutely anticommuting conserved charges of reparametrization invariant theories: A couple of relativistic toy models as examples
• BRST, anti-BRST and their geometry

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