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Nonanticommutativity in the presence of a boundary

Faizal, M.; Smith, D.J.

Nonanticommutativity in the presence of a boundary Thumbnail


M. Faizal


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.


Faizal, M., & Smith, D. (2013). Nonanticommutativity in the presence of a boundary. Physical Review D, 87(2), Article 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


Published Journal Article (138 Kb)

Copyright Statement
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.

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