Nonlinear N = 2 $$ \mathcal{N}=2 $$ global supersymmetry

Abstract

Abstract We study the partial breaking of N = 2 $$ \mathcal{N}=2 $$ global supersymmetry, using a novel formalism that allows for the off-shell nonlinear realization of the broken supersymmetry, extending previous results scattered in the literature. We focus on the Goldstone degrees of freedom of a massive N = 1 $$ \mathcal{N}=1 $$ gravitino multiplet which are described by deformed N = 2 $$ \mathcal{N}=2 $$ vector and single-tensor superfields satisfying nilpotent constraints. We derive the corresponding actions and study the interactions of the superfields involved, as well as constraints describing incomplete N = 2 $$ \mathcal{N}=2 $$ matter multiplets of non-linear supersymmetry (vectors and single-tensors).

Keywords

• Extended Supersymmetry
• Supersymmetry Breaking