Nonanticommutativity in the presence of a boundary

Faizal, M.; Smith, D.J.

doi:10.1103/physrevd.87.025019

Nonanticommutativity in the presence of a boundary

Faizal, M.; Smith, D.J.

Authors

M. Faizal

Professor Douglas Smith douglas.smith@durham.ac.uk
Head Of Department

Abstract

In this paper we consider nonanticommutative field theories in N=2 superspace formalism on three-dimensional manifolds with a boundary. We modify the original Lagrangian in such a way that it preserves half the supersymmetry even in the presence of a boundary. We also analyze the partial breaking of supersymmetry caused by nonanticommutativity between fermionic coordinates. Unlike in four dimensions, in three dimensions a theory with N=1/2 supersymmetry cannot be obtained by a nonanticommutative deformation of an N=1 theory. However, in this paper we construct a three-dimensional theory with N=1/2 supersymmetry by studying a combination of nonanticommutativity and boundary effects, starting from N=2 supersymmetry.

Citation

Faizal, M., & Smith, D. (2013). Nonanticommutativity in the presence of a boundary. Physical Review D, 87(2), Article 025019. https://doi.org/10.1103/physrevd.87.025019

Journal Article Type	Article
Publication Date	Jan 1, 2013
Deposit Date	Sep 12, 2013
Publicly Available Date	Aug 5, 2014
Journal	Physical Review D
Print ISSN	1550-7998
Electronic ISSN	1550-2368
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	87
Issue	2
Article Number	025019
DOI	https://doi.org/10.1103/physrevd.87.025019

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Reprinted with permission from the American Physical Society: Phys. Rev. D 87, 025019 © (2013) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.