Partial N $$ \mathcal{N} $$ = 2 supersymmetry breaking and deformed hypermultiplets

Abstract

Abstract We study partial supersymmetry breaking from N $$ \mathcal{N} $$ = 2 to N $$ \mathcal{N} $$ = 1 by adding non-linear terms to the N $$ \mathcal{N} $$ = 2 supersymmetry transformations. By exploiting the necessary existence of a deformed supersymmetry algebra for partial breaking to occur, we systematically use N $$ \mathcal{N} $$ = 2 projective superspace with central charges to provide a streamlined setup. For deformed O $$ \mathcal{O} $$ (2) and O $$ \mathcal{O} $$ (4) hypermultiplets, besides reproducing known results, we describe new models exhibiting partial supersymmetry breaking with and without higher-derivative interactions.

Keywords

• Extended Supersymmetry
• Superspaces
• Supersymmetry Breaking