A superspace formulation of Abelian antisymmetric tensor gauge theory

Details A superspace formulation of Abelian antisymmetric tensor gauge theory A superspace formulation of Abelian antisymmetric tensor gauge theory

1999-05-24

arxiv.org/abs/hep-th/9905167v2

Mod.Phys.Lett. A15 (2000) 965-978

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 19pages, No figs

Scientific paper

We apply a superspace formulation to the four-dimensional gauge theory of a massless Abelian antisymmetric tensor field of rank 2. The theory is formulated in a six-dimensional superspace using rank-2 tensor, vector and scalar superfields and their associated supersources. It is shown that BRS transformation rules of fields are realized as Euler-Lagrange equations without assuming the so-called horizontality condition and that a generating functional $\bar{W}$ constracted in the superspace reduces to that for the ordinary gauge theory of Abelian rank-2 antisymmetric tensor field. The WT identity for this theory is derived by making use of the superspace formulation and is expressed in a neat and compact form $\partial\bar{W}/\partial\theta=0$.

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