A Path Integral Approach To Noncommutative Superspace

Details A Path Integral Approach To Noncommutative Superspace A Path Integral Approach To Noncommutative Superspace

2003-04-14

arxiv.org/abs/hep-th/0304118v2

JHEP 0306 (2003) 031

Physics

High Energy Physics

High Energy Physics - Theory

Latex 13 pages. v2: references and footnotes added

Scientific paper

10.1088/1126-6708/2003/06/031

A path integral formula for the associative star-product of two superfields is proposed. It is a generalization of the Kontsevich-Cattaneo-Felder's formula for the star-product of functions of bosonic coordinates. The associativity of the star-product imposes certain conditions on the background of our sigma model. For generic background the action is not supersymmetric. The supersymmetry invariance of the action constrains the background and leads to a simple formula for the star-product.

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