Veronese Geometry and the Electroweak Vacuum Moduli Space
High Energy Physics - Theory
2014-07-21 v1 High Energy Physics - Phenomenology
Algebraic Geometry
Abstract
We explain the origin of the Veronese surface in the vacuum moduli space geometry of the MSSM electroweak sector. While this result appeared many years ago using techniques of computational algebraic geometry, it has never been demonstrated analytically. Here, we present an analytical derivation of the vacuum geometry of the electroweak theory by understanding how the F- and D-term relations lead to the Veronese surface. We moreover give a detailed description of this geometry, realising an extra branch as a zero-dimensional point when quadratic Higgs lifting deformations are incorporated into the superpotential.
Cite
@article{arxiv.1402.3312,
title = {Veronese Geometry and the Electroweak Vacuum Moduli Space},
author = {Yang-Hui He and Vishnu Jejjala and Cyril Matti and Brent D. Nelson},
journal= {arXiv preprint arXiv:1402.3312},
year = {2014}
}
Comments
13 pages, 3 tables