2002/08/10 by W. Machin, W Machin, G. Papadopoulos
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1088/0264-9381/20/7/302
published as Class.Quant.Grav.20:1233-1266,2003 · 45 pages, Latex
arxiv created 2002/08/10 · openalex publication_date 2003/03/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We construct actions for ( p , 0)- and ( p , 1)-supersymmetric, 1 ⩽ p ⩽ 4, two-dimensional gauge theories coupled to nonlinear sigma model matter with a Wess–Zumino term. We derive the scalar potential for a large class of these models. We then show that the Euclidean actions of the (2, 0)- and (4, 0)-supersymmetric models without Wess–Zumino terms are bounded by topological charges which involve the equivariant extensions of the Kähler forms of the sigma model target spaces evaluated on the two-dimensional spacetime. We give similar bounds for Euclidean actions of appropriate gauge theories coupled to nonlinear sigma model matter in higher spacetime dimensions which now involve the equivariant extensions of the Kähler forms of the sigma model target spaces and the second Chern character of gauge fields. The BPS configurations are generalizations of Abelian and non-Abelian vortices.