D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace

Details D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace

2004-08-24

arxiv.org/abs/hep-th/0408184v3

Phys.Rev. D70 (2004) 125003

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, Latex; v3: Minor changes in the text, correction in eqns. (2.22) and (4.8), added references, version to appear in P

Scientific paper

10.1103/PhysRevD.70.125003

We extend the results of hep-th/0310137 to show that a general classical action for D=2, N=2 sigma models on a non(anti)commutative superspace is not standard and contains infinite number of terms, which depend on the determinant of the non(anti)commutativity parameter, C^{\alpha\beta}. We show that using Kahler normal coordinates the action can be written in a manifestly covariant manner. We introduce vector multiplets and obtain the N=1/2 supersymmetry transformations of the theory in the Wess-Zumino gauge. By explicitly deriving the expressions for vector and twisted superfields on non(anti)commutative superspace, we study the classical aspects of Gauged linear sigma models.

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