Abelian 2-form gauge theory: superfield formalism

dc.creatorMalik, R. P.
dc.date2007-02-06
dc.date2009-04-08
dc.date.accessioned2026-07-07T13:01:23Z
dc.date.available2026-07-07T13:01:23Z
dc.descriptionWe derive the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for {\it all} the fields of a free Abelian 2-form gauge theory by exploiting the geometrical superfield approach to 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 θand \barθ(with θ^2 = \barθ^2 = 0, θ\barθ+ \barθθ= 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 supperfield approach to the case of Abelian 3-form gauge theory in four (3 + 1)-dimensions of spacetime.
dc.descriptionLaTeX file, 23 pages, journal version
dc.identifierhttps://arxiv.org/abs/hep-th/0702039
dc.identifierhttp://arxiv.org/abs/hep-th/0702039
dc.identifierEur.Phys.J.C60:457-470,2009
dc.identifierdoi:10.1140/epjc/s10052-009-0918-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226134
dc.subjectHigh Energy Physics - Theory
dc.titleAbelian 2-form gauge theory: superfield formalism
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