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Published June 1, 2003 | public
Journal Article Open

A path integral approach to noncommutative superspace

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.

Additional Information

Copyright © Institute of Physics and IOP Publishing Limited 2003. Received 21 April 2003, accepted for publication 17 June 2003. Published 25 June 2003. The work of I.C. is supported by a Sherman Fairchild Prize Fellowship. The work of C.C. is supported in part by the DOE Grant DE-FG03-92-ER40701.

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August 22, 2023
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