A Path Integral Approach To Noncommutative Superspace
High Energy Physics - Theory
2009-11-10 v2
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0304118,
title = {A Path Integral Approach To Noncommutative Superspace},
author = {Iouri Chepelev and Calin Ciocarlie},
journal= {arXiv preprint arXiv:hep-th/0304118},
year = {2009}
}
Comments
Latex 13 pages. v2: references and footnotes added