Constraints from F and D supersymmetry breaking in general supergravity theories

TL;DR

This paper derives constraints on supergravity models with chiral and vector multiplets that allow for realistic vacua with broken supersymmetry, focusing on the geometry and auxiliary fields involved.

Contribution

It provides general conditions involving scalar curvature, charge, and mass matrices that must be satisfied for viable supersymmetry-breaking vacua in supergravity theories.

Findings

Constraints on scalar curvature tensor for vacua viability

Restrictions on F and D auxiliary fields for Goldstino direction

Implications for moduli stabilization in string models

Abstract

We study the conditions under which a generic supergravity model involving chiral and vector multiplets can admit vacua with spontaneously broken supersymmetry and realistic cosmological constant. We find that the existence of such viable vacua implies some constraints involving the curvature tensor of the scalar geometry and the charge and mass matrices of the vector fields, and also that the vector of F and D auxiliary fields defining the Goldstino direction is constrained to lie within a certain domain. We illustrate the relevance of these results through some examples and also discuss the implications of our general results on the dynamics of moduli fields in string models. This contribution is based on [1,2,3].