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arXiv · 0707.3922

BRST, anti-BRST and gerbes

L. Bonora·R. P. Malik
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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.

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L. Bonora, R. P. Malik. 2009-02-23. BRST, anti-BRST and gerbes. https://doi.org/10.1016/j.physletb.2007.08.063

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