BRST, anti-BRST and gerbes

Details BRST, anti-BRST and gerbes BRST, anti-BRST and gerbes

2007-07-26

arxiv.org/abs/0707.3922v4

Phys.Lett.B655:75-79,2007

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, typo corrected in eq.(3,8,24)

Scientific paper

10.1016/j.physletb.2007.08.063

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.

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