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arXiv · 1510.05779

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

Harold C. Steinacker
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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.

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Harold C. Steinacker. 2016-01-15. One-loop stabilization of the fuzzy four-sphere via softly broken SUSY. https://doi.org/10.1007/jhep12(2015)115

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