Complex Linear Multiplets and Local Supersymmetry Breaking

TL;DR

This paper investigates supersymmetry breaking mechanisms using complex linear superfields coupled to 4D N=1 supergravity, revealing multiple vacua and dual descriptions involving nilpotent chiral superfields.

Contribution

It introduces a novel analysis of supersymmetry breaking with complex linear superfields and explores their dual descriptions in supergravity frameworks.

Findings

Existence of two classically decoupled vacua: one supersymmetric, one with broken supersymmetry.

Scalar potential can produce no-scale Minkowski, de Sitter, or anti-de Sitter vacua.

Dual descriptions involve nilpotent chiral superfields coupled to supergravity.

Abstract

We study supersymmetry breaking from a complex linear superfield coupled to 4D N=1 supergravity. The theory has two classically decoupled vacua, one supersymmetric and one with broken and intrinsically non-linear supersymmetry. Depending on the values of the parameters the scalar potential can lead to no-scale Minkwoski or a stable de Sitter or anti-de Sitter vacuum. We also provide a dual description of the system in terms of a nilpotent chiral superfield and a standard chiral coupled to supergravity.