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Right-handed neutrinos and $U\left(1\right)_{X}$ symmetry-breaking
High Energy Physics - Theory · Submitted 14 Dec 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Goals of this note are to treat the existence of right-handed neutrinos in our $F$-theory model, show that the $\mathbb{Z}_{2}$-action in our model breaks the $U\left(1\right)_{X}$-symmetry associated to the $4+1$ split to $\mathbb{Z}_{2}$-matter parity, and to identify Yukawa couplings for the MSSM matter fields.
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The abstract, sentence by sentence
The authors have proposed a global model for Heterotic $F$-theory duality with Wilson line symmetry-breaking and a $4+1$ split of the $F$-theory spectral divisor. Goals of this note are to treat the existence of right-handed neutrinos in our $F$-theory model, show that the $\mathbb{Z}_{2}$-action in our model breaks the $U\left(1\right)_{X}$-symmetry associated to the $4+1$ split to $\mathbb{Z}_{2}$-matter parity, and to identify Yukawa couplings for the MSSM matter fields.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The authors have proposed a global model for Heterotic $F$-theory duality with Wilson line symmetry-breaking and a $4+1$ split of the $F$-theory spectral divisor. | background 0.80 | 0.51 | 0.10 | asserted 1.00 |
| s1 | Goals of this note are to treat the existence of right-handed neutrinos in our $F$-theory model, show that the $\mathbb{Z}_{2}$-action in our model breaks the $U\left(1\right)_{X}$-symmetry associated to the $4+1$ split to $\mathbb{Z}_{2}$-matter parity, and to identify Yukawa couplings for the MSSM matter fields. | contribution 0.96 | 0.68 | 0.23 | asserted 0.95 |
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The paper
Original abstract
The authors have proposed a global model for Heterotic $F$-theory duality with Wilson line symmetry-breaking and a $4+1$ split of the $F$-theory spectral divisor. Goals of this note are to treat the existence of right-handed neutrinos in our $F$-theory model, show that the $\mathbb{Z}_{2}$-action in our model breaks the $U\left(1\right)_{X}$-symmetry associated to the $4+1$ split to $\mathbb{Z}_{2}$-matter parity, and to identify Yukawa couplings for the MSSM matter fields.
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