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Testing R-parity with geometry

He, Y., Jejjala, V., Matti, C. & Nelson, B. D. (2016). Testing R-parity with geometry. Journal of High Energy Physics(3), 79. doi: 10.1007/JHEP03(2016)079


We present a complete classification of the vacuum geometries of all renormalizable superpotentials built from the fields of the electroweak sector of the MSSM. In addition to the Severi and affine Calabi-Yau varieties previously found, new vacuum manifolds are identified; we thereby investigate the geometrical implication of theories which display a manifest matter parity (or R-parity) via the distinction between leptonic and Higgs doublets, and of the lepton number assignment of the right-handed neutrino fields.

We find that the traditional R-parity assignments of the MSSM more readily accommodate the neutrino see-saw mechanism with non-trivial geometry than those superpotentials that violate R-parity. However there appears to be no geometrical preference for a fundamental Higgs bilinear in the superpotential, with operators that violate lepton number, such as νHH¯, generating vacuum moduli spaces equivalent to those with a fundamental bilinear.

Publication Type: Article
Additional Information: © The Author(s) 2016.
Publisher Keywords: Supersymmetric Effective Theories, Supersymmetric gauge theory
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology > Mathematics
Text - Published Version
Available under License Creative Commons Attribution.

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