BRST, anti-BRST and gerbes
High Energy Physics - Theory
2009-02-23 v4
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.
Cite
@article{arxiv.0707.3922,
title = {BRST, anti-BRST and gerbes},
author = {L. Bonora and R. P. Malik},
journal= {arXiv preprint arXiv:0707.3922},
year = {2009}
}
Comments
11 pages, typo corrected in eq.(3,8,24)