Supersymmetry and noncommutative geometry Part II: Supersymmetry breaking

TL;DR

This paper explores how soft supersymmetry breaking terms naturally emerge within the framework of almost-commutative geometries, linking supersymmetric particle content with the spectral action and gaugino masses.

Contribution

It demonstrates that soft supersymmetry breaking Lagrangians can be derived naturally from noncommutative geometric models, connecting supersymmetry breaking to spectral action components.

Findings

Soft breaking terms arise automatically with gaugino masses.

The second Seeley-DeWitt coefficient contributes to the breaking Lagrangian.

Supersymmetric content and breaking are closely linked in noncommutative geometry.

Abstract

We describe how a soft supersymmetry breaking Lagrangian arises naturally in the context of almost-commutative geometries that fall within the classification of those having a supersymmetric particle content as well as a supersymmetric spectral action. All contributions to such a Lagrangian are seen to either be generated automatically after introducing gaugino masses to the theory or coming from the second Seeley-DeWitt coefficient that is already part of the spectral action. In noncommutative geometry, a supersymmetric particle content and the appearance of a soft breaking Lagrangian thus appear to be intimately connected to each other.