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Hypercharge and baryon minus lepton number in E6
High Energy Physics - Phenomenology · Submitted 2 May 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Based on these investigations, we propose an alternative SU(5) grand unification model.
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The abstract, sentence by sentence
We study assignments of the hypercharge and baryon minus lepton number for particles in the $E_6$ grand unification model. It is shown that there are three assignments of hypercharge and three assignments of baryon minus lepton number which are consistent with the Standard Model. Their explicit expressions and detailed properties are given. In particular, we show that the $U(1)_{B-L}$ symmetry in $E_6$ cannot be orthogonal to the $SU(3)_R$ symmetry. Based on these investigations, we propose an alternative SU(5) grand unification model.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study assignments of the hypercharge and baryon minus lepton number for particles in the $E_6$ grand unification model. | contribution 0.97 | 0.91 | 0.04 | asserted 0.61 |
| s1 | It is shown that there are three assignments of hypercharge and three assignments of baryon minus lepton number which are consistent with the Standard Model. | result 1.00 | 0.89 | 0.39 | asserted 1.00 |
| s2 | Their explicit expressions and detailed properties are given. | contribution 0.86 | 0.90 | 0.06 | asserted 0.93 |
| s3 | In particular, we show that the $U(1)_{B-L}$ symmetry in $E_6$ cannot be orthogonal to the $SU(3)_R$ symmetry. | result 1.00 | 0.93 | 0.29 | asserted 1.00 |
| s4 | Based on these investigations, we propose an alternative SU(5) grand unification model. | contribution 0.91 | 0.86 | 0.34 | asserted 0.84 |
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The paper
Original abstract
We study assignments of the hypercharge and baryon minus lepton number for particles in the $E_6$ grand unification model. It is shown that there are three assignments of hypercharge and three assignments of baryon minus lepton number which are consistent with the Standard Model. Their explicit expressions and detailed properties are given. In particular, we show that the $U(1)_{B-L}$ symmetry in $E_6$ cannot be orthogonal to the $SU(3)_R$ symmetry. Based on these investigations, we propose an alternative SU(5) grand unification model.
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References
How the literature uses it
2 arXiv papers cite this in 9 sentences
Papers citing it · 7 sentences without a confident label
Cites it as background 2 papers
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For the detailed analysis, we refer readers to [ref] .
On F-theory E_6 GUTs · Subgroups of $E_6$ · 0.96
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Grand unified theories with $E_6$ gauge group have many theoretical advantages—anomaly free, the largest exceptional Lie group that has chiral representation, a possible unification of quarks, charged leptons, neutrinos and Higgs doublets—and therefore much attention has been paid in the literature [ref] .
Gauge coupling unification with extra Higgs doublets · Matter-parity in $E_6$ · 0.91
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