English

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

High Energy Physics - Theory 2016-01-27 v4 General Relativity and Quantum Cosmology

Abstract

We describe a stabilization mechanism for fuzzy SN4S^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.

Keywords

Cite

@article{arxiv.1510.05779,
  title  = {One-loop stabilization of the fuzzy four-sphere via softly broken SUSY},
  author = {Harold C. Steinacker},
  journal= {arXiv preprint arXiv:1510.05779},
  year   = {2016}
}

Comments

28 pages, 3 figures. V2: typos fixed, improved discussion, published version. V3,V4: reference added