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Testing R-parity with geometry
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نویسنده
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He Yang-Hui ,Jejjala Vishnu ,Matti Cyril ,Nelson Brent D.
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منبع
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journal of high energy physics - 2016 - دوره : 2016 - شماره : 3 - صفحه:1 -29
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چکیده
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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 $$ nu hoverline{h} $$ , generating vacuum moduli spaces equivalent to those with a fundamental bilinear.
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کلیدواژه
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Supersymmetric Effective Theories ,Supersymmetric gauge theory
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آدرس
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City University, Department of Mathematics, UK. NanKai University, PR China. University of Oxford, UK, University of the Witwatersrand, South Africa, City University, Department of Mathematics, UK. University of the Witwatersrand, South Africa, Northeastern University, Department of Physics, USA
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Authors
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