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A path integral approach to noncommutative superspace

Chepelev, Iouri and Ciocarlie, Calin (2003) A path integral approach to noncommutative superspace. Journal of High Energy Physics, 2003 (06). Art. No. 031. ISSN 1126-6708. doi:10.1088/1126-6708/2003/06/031.

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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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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.
Subject Keywords:sigma models; topological field theories; superstrings and heterotic strings; BRST symmetry
Issue or Number:06
Record Number:CaltechAUTHORS:CHEjhep03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3773
Deposited By: Tony Diaz
Deposited On:10 Jul 2006
Last Modified:08 Nov 2021 20:12

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