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

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

2004-04-18

arxiv.org/abs/hep-th/0404119v2

Phys.Lett. B595 (2004) 530-536

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 11 pages, 1 figure; references added and updated

Scientific paper

10.1016/j.physletb.2004.05.059

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.

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