One-loop stabilization of the fuzzy four-sphere via softly broken SUSY

TL;DR

This paper proposes a stabilization mechanism for the fuzzy four-sphere in the Euclidean IIB matrix model, using one-loop vacuum energy effects with softly broken supersymmetry, potentially relevant for emergent 3+1-dimensional space-time.

Contribution

It introduces a novel stabilization mechanism for fuzzy spheres via one-loop effects and SUSY breaking in the IIB matrix model.

Findings

The effective potential stabilizes the fuzzy S^4 radius.

Supergravity contributes an attractive force.

SUSY breaking induces a repulsive effect at small radius.

Abstract

We describe a stabilization mechanism for fuzzy $S^4_N$ in the Euclidean IIB matrix model due to vacuum energy in the presence of a positive mass term. The one-loop effective potential for the radius contains an attractive contribution attributed to supergravity, while the mass term induces a repulsive contribution for small radius due to SUSY breaking. This leads to a stabilization of the radius. The mechanism should be pertinent to recent results on the genesis of 3+1-dimensional space-time in the Minkowskian IIB model.