Surviving on the Slope: Supersymmetric Vacuum in the Theories Where It Is Not Supposed to Be

TL;DR

This paper explores the existence of stable supersymmetric vacua with positive energy density in models where such vacua are not traditionally expected, using the framework of extended superalgebra.

Contribution

It introduces a formal foundation for stable vacua that restore partial supersymmetry via the central extension of N=1 superalgebra with infinite central charge.

Findings

Identification of stable vacua with positive energy density restoring half of supersymmetry

Connection between these vacua and the central extension of superalgebra

Theoretical framework applicable to models with run-away or non-supersymmetric ground states

Abstract

In supersymmetric models with the run-away vacua or with the stable but non-supersymmetric ground state there exist stable field configurations (vacua) which restore one half of supersymmetry and are characterized by constant positive energy density. The formal foundation for such vacua is provided by the central extension of the N =1 superalgebra with the infinite central charge.