Dual versions of N=2 supergravity and spontaneous supersymmetry breaking

TL;DR

This paper explores dual formulations of N=2 supergravity models with specific scalar geometries, demonstrating the existence of multiple Lagrangians related by duality and constructing models with spontaneous supersymmetry breaking at arbitrary scales.

Contribution

It introduces a family of dual Lagrangians for N=2 supergravity with fixed scalar geometry and constructs models with spontaneous supersymmetry breaking without a cosmological constant.

Findings

Multiple dual Lagrangians exist for fixed scalar geometry.

Constructed models exhibit spontaneous supersymmetry breaking with arbitrary scales.

No cosmological term is needed in the constructed models.

Abstract

In this paper, using a model of N=2 supergravity - vector multiplets interaction with the scalar field geometry $SU(1,m)/SU(m)\otimes U(1)$ as an example, we show that even when the geometry is fixed one can have a whole family of the Lagrangians that differ by the vector field duality transformations. As a byproduct, for this geometry we have constructed a model of (m-1) vector multiplets interacting with the hidden sector admitting spontaneous supersymmetry breaking with two arbitrary scales and without a cosmological term.