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

Abstract

We describe a stabilization mechanism for fuzzy $S_N^4$ 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.

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

References in corpus (1)

• Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry

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