BRST, anti-BRST and gerbes
نویسندگان
چکیده
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. PACS numbers: 11.15.-q, 12.20.-m, 03.70.+k
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