Spontaneous supersymmetry breaking in N = 4 supergravity with matter.

TL;DR

This paper addresses spontaneous supersymmetry breaking in $N=4$ supergravity with vector multiplets, comparing the ordinary formulation with a dual hidden-sector version. The ordinary model uses the scalar manifold $SU(1,1)/U(1)\otimes SO(6,m)/SO(6)\otimes SO(m)$ and exhibits various gaugings that can introduce a cosmological term or enable partial breaking. The dual version preserves the same scalar geometry but changes the global symmetry to $O(m-6)\otimes GL(6)$ with translations, facilitating spontaneous breaking without a cosmological term and allowing four independent SUSY-breaking scales, including $N=4\to N=3,2,1$, though it does not generate soft breaking terms for matter due to a critical constraint. Overall, the work demonstrates the viability of dual formulations for achieving spontaneous SUSY breaking in $N=4$ supergravity with matter and clarifies the limitations regarding soft terms, while highlighting many unexplored gauging possibilities.

Abstract

In this paper we consider the problem of spontaneous supersymmetry breaking in $N=4$ supergravity interacting with vector multiplets. We start with the ordinary version of such model with the scalar field geometry $SU(1,1)/U(1)\otimes SO(6,m)/SO(6)\otimes SO(m)$. Then we construct a dual version of this theory with the same scalar field geometry, which corresponds to the interaction of arbitrary number of vector multiplets with the hidden sector, admitting spontaneous supersymmetry breaking without a cosmological term. We show that supersymmetry breaking is still possible in the presence of matter fields.