Standard Model Vacua for Two-dimensional Compactifications

Details Standard Model Vacua for Two-dimensional Compactifications Standard Model Vacua for Two-dimensional Compactifications

2010-10-20

arxiv.org/abs/1010.4302v2

JHEP 1012:083,2010

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 2 figures; v2: published in JHEP

Scientific paper

10.1007/JHEP12(2010)083

We examine the structure of lower-dimensional standard model vacua for two-dimensional compactifications (on a 2D torus and on a 2D sphere). In the case of the torus we find a new standard model vacuum for a large range of neutrino masses consistent with experiment. Quantum effects play a crucial role in the existence of this vacuum. For the compactification on a sphere the classical terms dominate the effective potential for large radii and a stable vacuum is achieved only by introducing a large magnetic flux. We argue that there are no two-dimensional standard model vacua for compactifications on a surface of genus greater than one.

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