Quintics with Finite Simple Symmetries
Christoph Luhn,Pierre Ramond +1 more
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In this article, all quintic invariants in five variables with simple non-Abelian finite symmetry groups were constructed and defined by Calabi-Yau threefolds which are left invariant by the action of A5, A6, or PSL2(11).Abstract:
We construct all quintic invariants in five variables with simple non-Abelian finite symmetry groups These define Calabi–Yau threefolds which are left invariant by the action of A5, A6, or PSL2(11)read more
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The golden ratio prediction for the solar angle from a natural model with A5 flavour symmetry
Ferruccio Feruglio,Alessio Paris +1 more
TL;DR: In this article, a model based on the flavour symmetry A ∼ 5 × Z 6 × Z 3, spontaneously broken by a set of flavon fields, is proposed to predict maximal atmospheric mixing angle, vanishing reactor angle and tan θ ∼ 12 = 1/ϕ where $ \phi = {{{\left( {1 + \sqrt {5} } \right)}} \left/ {2} \right}.
Journal ArticleDOI
The d4 flavor symmetry in 3-3-1 model with neutral leptons
V. V. Vien,Hoang Ngoc Long +1 more
TL;DR: In this paper, a D4 flavor model based on SU(3)C ⊗SU(3),L ⊆U(1)X gauge symmetry responsible for fermion masses and mixings is presented.
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The D_4 flavor symmery in 3-3-1 model with neutral leptons
V. V. Vien,Hoang Ngoc Long +1 more
TL;DR: In this article, the neutrinos get small masses from antisextets which are in a singlet and a doublet under SU(3)C X SU}(3_L X U(1)_X gauge symmetry responsible for fermion masses and mixings.
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The T 7 flavor symmetry in 3-3-1 model with neutral leptons
Vo Van Vien,Hoang Ngoc Long +1 more
TL;DR: In this article, a 3-3-1 model based on non-Abelian discrete symmetry T petertodd 7 responsible for the fermion masses was constructed and the flavor mixing patterns and mass splitting were obtained without perturbation.
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Neutrino mixing with nonzero θ13 and CP violation in the 3-3-1 model based on S4 flavor symmetry
TL;DR: In this paper, a 3-3-1 model with neutral fermions based on A4 flavor symmetry responsible for fermion masses and mixings with nonzero θ13.
References
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Finite and Disconnected Subgroups of SU3 and their Application to the Elementary‐Particle Spectrum
TL;DR: In this article, an attempt is made to fit the symmetries of the currently observed elementary-particle spectrum into the structure of finite or disconnected subgroups of SU3.
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Polynomial irreducible tensors for point groups
TL;DR: In this paper, explicit integrity bases of (Γr,Γm) tensors are given for all pairs Γr and Γm for the groups Cn, Dn, T, and O, for the same groups with reflections.
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Families of Quintic Calabi–Yau 3–Folds with Discrete Symmetries
TL;DR: In this article, the Picard-Fuchs equations satisfied by the periods of all 3-forms in the Calabi-Yau hypersurfaces were derived and analyzed using a technique similar to that of Candelas, de la Ossa and Rodriguez-Villegas.
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