Wess-Zumino and super Yang-Mills theories in D=4 integral superspace

Abstract

Abstract We reconstruct the action of N = 1, D = 4 Wess-Zumino and N = 1, 2, D = 4 super-Yang-Mills theories, using integral top forms on the supermanifold ℳ 4 4 $$ {\mathrm{\mathcal{M}}}^{\left(\left.4\right|4\right)} $$ . Choosing different Picture Changing Operators, we show the equivalence of their rheonomic and superspace actions. The corresponding supergeometry and integration theory are discussed in detail. This formalism is an efficient tool for building supersymmetric models in a geometrical framework.

Keywords

• Differential and Algebraic Geometry
• Superspaces
• Supersymmetric Gauge Theory