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Testing R-parity with geometry
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DOI：10.1007/JHEP03(2016)079.png)
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摘要
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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.
Keyword:
Supeersyrnrnetric Effective Theories
Supersyrnmetric gauge theory
期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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