New supersymmetry algebras from partial supersymmetry breaking

TL;DR

This paper explores new supersymmetry algebras arising from partial supersymmetry breaking in flat and anti de Sitter spaces, revealing novel N=2 supergravity theories and algebra structures.

Contribution

It introduces new N=2 supersymmetry algebras derived from partial breaking, including in AdS space, expanding the understanding of supersymmetry representations.

Findings

UnHiggsing of massive N=1 multiplets yields new N=2 supergravity.

Partial breaking in flat space leads to two distinct N=2 algebras.

AdS space breaking produces a nonlinear N=2 supersymmetry algebra.

Abstract

In this talk we will study the partial breaking of supersymmetry in flat and anti de Sitter space. We will see that partial breaking in flat space can be accomplished using either of two representations for the massive N=1 spin-3/2 multiplet. We will "unHiggs" each representation and find a new N=2 supergravity and a new N=2 supersymmetry algebra. We will also see that partial supersymmetry breaking in AdS space can give rise to a new N=2 supersymmetry algebra, one that is necessarily nonlinearly realized.