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Nonanticommutativity in the presence of a boundary.

Faizal, M. and Smith, D.J. (2013) 'Nonanticommutativity in the presence of a boundary.', Physical review D., 87 (2). 025019.


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.

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Publisher 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.
Date accepted:No date available
Date deposited:05 August 2014
Date of first online publication:January 2013
Date first made open access:No date available

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