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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.

how it is stated · asserted 0.84 read the record →

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arXiv IDhep-ph/0305015 (version 1)
Pith IDT6LHJW6F, Pith's permanent record of this paper and its review
CitationJ.Harada. "Hypercharge and baryon minus lepton number in E6." arXiv:hep-ph/0305015 (2003). https://pith.science/paper/T6LHJW6F
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,190 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.23 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.93 · compares with prior results 0.12 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
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

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • references and citing sentences
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  • P abstract
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  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 7 sentences without a confident label

Cites it as background 2 papers
  • For the detailed analysis, we refer readers to [ref] .

    On F-theory E_6 GUTs · Subgroups of $E_6$ · 0.96

  • 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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