### Abstract

We investigate the equations of motion in the four-dimensional non-anticommutative N=2 supersymmetric U(1) gauge field theory, in the search for BPS configurations. The BPS-like equations, generalizing the Abelian (anti)self-duality conditions, are proposed. We prove full solvability of our BPS-like equations, as well their consistency with the equations of motion. Certain restrictions on the allowed scalar field values are also found. Surviving supersymmetry is briefly discussed too.

Original language | English |
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Pages (from-to) | 530-536 |

Number of pages | 7 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 595 |

Issue number | 1-4 |

DOIs | |

Publication status | Published - 12 Aug 2004 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**BPS-type equations in the non-anticommutative N = 2 supersymmetric U(1) gauge theory.** / Ketov, Sergei V.; Sasaki, Shin.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 595, no. 1-4, pp. 530-536. https://doi.org/10.1016/j.physletb.2004.05.059

}

TY - JOUR

T1 - BPS-type equations in the non-anticommutative N = 2 supersymmetric U(1) gauge theory

AU - Ketov, Sergei V.

AU - Sasaki, Shin

PY - 2004/8/12

Y1 - 2004/8/12

N2 - We investigate the equations of motion in the four-dimensional non-anticommutative N=2 supersymmetric U(1) gauge field theory, in the search for BPS configurations. The BPS-like equations, generalizing the Abelian (anti)self-duality conditions, are proposed. We prove full solvability of our BPS-like equations, as well their consistency with the equations of motion. Certain restrictions on the allowed scalar field values are also found. Surviving supersymmetry is briefly discussed too.

AB - We investigate the equations of motion in the four-dimensional non-anticommutative N=2 supersymmetric U(1) gauge field theory, in the search for BPS configurations. The BPS-like equations, generalizing the Abelian (anti)self-duality conditions, are proposed. We prove full solvability of our BPS-like equations, as well their consistency with the equations of motion. Certain restrictions on the allowed scalar field values are also found. Surviving supersymmetry is briefly discussed too.

UR - http://www.scopus.com/inward/record.url?scp=3843069666&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3843069666&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2004.05.059

DO - 10.1016/j.physletb.2004.05.059

M3 - Article

AN - SCOPUS:3843069666

VL - 595

SP - 530

EP - 536

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-4

ER -