Spontaneous supersymmetry breaking in N = 4 supergravity with matter.

TL;DR

This paper investigates spontaneous supersymmetry breaking in N=4 supergravity models with matter, demonstrating that breaking can occur with matter fields present and constructing dual models that admit breaking without a cosmological constant.

Contribution

The paper introduces a dual version of N=4 supergravity with matter, showing spontaneous supersymmetry breaking is possible in these models without a cosmological term.

Findings

Supersymmetry breaking occurs with matter fields.

Dual models with scalar geometry $SU(1,1)/U(1)\otimes SO(6,m)/SO(6)\otimes SO(m) are constructed.

Breaking is achieved without a cosmological constant.

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.