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- W2025119440 abstract "We derive the off-shell nilpotent Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a free Abelian 2-form gauge theory by exploiting the geometrical superfield approach to the BRST formalism. The above four (3+1)-dimensional (4D) theory is considered on a (4, 2)-dimensional supermanifold parameterized by the four even spacetime variables x μ (with μ=0,1,2,3) and a pair of odd Grassmannian variables θ and $bar{theta}$ (with $theta^{2}=bar{theta}^{2}=0,thetabar{theta}+bar{theta}theta=0$ ). One of the salient features of our present investigation is that the above nilpotent (anti-) BRST symmetry transformations turn out to be absolutely anticommuting due to the presence of a Curci–Ferrari (CF) type of restriction. The latter condition emerges due to the application of our present superfield formalism. The actual CF condition, as is well known, is the hallmark of a 4D non-Abelian 1-form gauge theory. We demonstrate that our present 4D Abelian 2-form gauge theory imbibes some of the key signatures of the 4D non-Abelian 1-form gauge theory. We briefly comment on the generalization of our superfield approach to the case of Abelian 3-form gauge theory in four, (3+1), dimensions of spacetime." @default.
- W2025119440 created "2016-06-24" @default.
- W2025119440 creator A5027523312 @default.
- W2025119440 date "2009-02-19" @default.
- W2025119440 modified "2023-10-11" @default.
- W2025119440 title "Abelian 2-form gauge theory: superfield formalism" @default.
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- W2025119440 doi "https://doi.org/10.1140/epjc/s10052-009-0918-1" @default.
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