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

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

2003-10-14

arxiv.org/abs/hep-th/0310137v2

JHEP 0403:013,2004

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, Latex; v2:minor typos corrected and a reference added

Scientific paper

10.1088/1126-6708/2004/03/013

The classical action of a two dimensional N=2 supersymmetric theory, characterized by a general K\"{a}hler potential, is written down on a non(anti)commutative superspace. The action has a power series expansion in terms of the determinant of the non(anti)commutativity parameter $C^{\alpha\beta}$. The theory is explicitly shown to preserve half of the N=2 supersymmetry, to all orders in (det C)^n. The results are further generalized to include arbitrary superpotentials as well.

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