Veronese geometry and the electroweak vacuum moduli space
- He, Yang-Hui(Department of Mathematics, City University, London, Northampton Square, London, EC1V 0HB, UK)
- Jejjala, Vishnu(Centre for Theoretical Physics, NITheP, School of Physics, University of the Witwatersrand, Johannesburg, WITS 2050, South Africa)
- Matti, Cyril(Department of Mathematics, City University, London, Northampton Square, London, EC1V 0HB, UK)
- Nelson, Brent D.(Department of Physics, Northeastern University, Boston, MA, 02115, USA)
Publication date
October 2014
DOIAbstract
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
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