Testing R-parity with geometry

Yang‐Hui He

doi:10.1007/JHEP03(2016)079

Testing R-parity with geometry

2016-03-14

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DOI：10.1007/JHEP03(2016)079

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We present a complete classification of the vacuum geometries of all renorrnalizable superpotentials built from the fields of the electroweak sector of the MSSM. In addition to the Severs 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 uH (H) over bar, generating vacuum moduli spaces equivalent to those with a fundamental bilinear.

Keywords:

Supeersyrnrnetric Effective Theories

Supersyrnmetric gauge theory

Testing R-parity with geometry

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