Nonanticommutativity in the presence of a boundary

Faizal, M.; Smith, D.J.

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