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On hypercharge flux and exotics in F-theory GUTs

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Emilian Dudas, Eran Palti

High Energy Physics - Phenomenology · Submitted 8 Jul 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim If we impose an additional R-parity symmetry by hand we find all the exotics can be lifted while proton decay operators are still forbidden.

how it is stated · asserted 0.99 read the record →

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arXiv ID1007.1297 (version 2)
Pith IDOKTEFYWD, Pith's permanent record of this paper and its review
CitationEmilian Dudas, Eran Palti. "On hypercharge flux and exotics in F-theory GUTs." arXiv:1007.1297 (2010). https://pith.science/paper/OKTEFYWD
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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, 5,002 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.65 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.34 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We study SU(5) Grand Unified Theories within a local framework in F-theory with multiple extra U(1) symmetries arising from a small monodromy group. The use of hypercharge flux for doublet-triplet splitting implies massless exotics in the spectrum that are protected from obtaining a mass by the U(1) symmetries. We find that lifting the exotics by giving vacuum expectation values to some GUT singlets spontaneously breaks all the U(1) symmetries which implies that proton decay operators are induced. If we impose an additional R-parity symmetry by hand we find all the exotics can be lifted while proton decay operators are still forbidden. These models can retain the gauge coupling unification accuracy of the MSSM at 1-loop. For models where the generations are distributed across multiple curves we also present a motivation for the quark-lepton mass splittings at the GUT scale based on a Froggatt-Nielsen approach to flavour.

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 SU(5) Grand Unified Theories within a local framework in F-theory with multiple extra U(1) symmetries arising from a small monodromy group. contribution 0.93 0.83 0.04 asserted 0.98
s1 The use of hypercharge flux for doublet-triplet splitting implies massless exotics in the spectrum that are protected from obtaining a mass by the U(1) symmetries. background 0.55 0.17 0.10 asserted 0.99
s2 We find that lifting the exotics by giving vacuum expectation values to some GUT singlets spontaneously breaks all the U(1) symmetries which implies that proton decay operators are induced. result 0.91 0.93 0.23 asserted 1.00
s3 If we impose an additional R-parity symmetry by hand we find all the exotics can be lifted while proton decay operators are still forbidden. result 0.93 0.93 0.30 asserted 0.99
s4 These models can retain the gauge coupling unification accuracy of the MSSM at 1-loop. result 1.00 0.78 0.09 hedged possibility 0.52
s5 For models where the generations are distributed across multiple curves we also present a motivation for the quark-lepton mass splittings at the GUT scale based on a Froggatt-Nielsen approach to flavour. contribution 0.80 0.83 0.05 asserted 0.73

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.79.

What was examined, and what was not

sources read
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not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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 SU(5) Grand Unified Theories within a local framework in F-theory with multiple extra U(1) symmetries arising from a small monodromy group. The use of hypercharge flux for doublet-triplet splitting implies massless exotics in the spectrum that are protected from obtaining a mass by the U(1) symmetries. We find that lifting the exotics by giving vacuum expectation values to some GUT singlets spontaneously breaks all the U(1) symmetries which implies that proton decay operators are induced. If we impose an additional R-parity symmetry by hand we find all the exotics can be lifted while proton decay operators are still forbidden. These models can retain the gauge coupling unification accuracy of the MSSM at 1-loop. For models where the generations are distributed across multiple curves we also present a motivation for the quark-lepton mass splittings at the GUT scale based on a Froggatt-Nielsen approach to flavour.

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References
How later papers used it

59 later papers cite it

Evidence: substantial. 48 of the citing papers share no author with it, and 9 of those carry a confident label from Pith's citation classifier.

Pith read 22 of the 128 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its method or tool 4 of 5 papers with this label · 1 by the same authors

  • Followed this paper to derive the relations of b_k(a_i) by equating coefficients of the same powers in s, using a suitable Ansatz for the a_i's to solve the constraint b_1(a_i)=0.

    Building SO(10) models from F-theory (2012) · 0.87 · paraphrased: the licence does not allow quoting

  • Determined homologies from the known Chern classes of the b_k coefficients through the equations b_k=b_k(a_i) given in this paper, using well known procedures.

    Phenomenological implications of a minimal F-theory GUT with discrete symmetry (2015) · 0.87 · paraphrased: the licence does not allow quoting

  • Made this paper's Ansatz and substituted it into the b_n's.

    Aspects of F-Theory GUTs (2012) · 0.85 · paraphrased: the licence does not allow quoting

By the same authors

  • Followed precisely this paper's methodology and notation to start from a fully split spectral cover.

    Wavefunctions and the Point of E8 in F-theory (2012) (same authors) · 1.00 · paraphrased: the licence does not allow quoting

How the literature uses it

60 arXiv papers cite this in 129 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 · 90 sentences without a confident label

Builds on it 2 papers
  • As already stated, if no other conditions are imposed on $a_k$ this model is considered as an $S_3$ variant of the $3+1+1$ example given in [ref] .

    Discrete Family Symmetry from F-Theory GUTs · $S_3$ and $Z_3$ models for $(3,1,1)$ factorisation · 0.81

  • Remarkably, this model is the $SO(10)$ upgrade of the $3+1+1+1$ example given in [ref] .

    Building SO(10) models from F-theory · First example · 0.91

Uses its method or tool 5 papers
  • Following precisely the methodology and notation of [ref] we start from a fully split spectral cover C_10 = (a_1 V + a_6 U ) (a_2 V + a_7 U ) (a_3 V + a_8 U) (a_4 V + a_9 U) (a_5 V + a_10 U) = 0 .

    Wavefunctions and the Point of E8 in F-theory · Semi-local constraints on matter spectrum · 1.00

  • Using the method of [ref] , the possible abelian monodromies are $ℤ_2$, $ℤ_3$, $ℤ_4,$ $ℤ_2×ℤ_3$ and $ℤ_2×ℤ_2$; they lead to factorizations of the $𝒞_5$ spectral cover as [equation] and to the respective identification of the weights ${ t_1,t_2}$, ${ t_1,t_2,t_3}$, ${ t_1,t_2,t_3,t_4}$, ${ t_1,t_2} ∪{ t_3,t_4,t_5}$ and ${ t_1,t_2} ∪{ t_3,t_4}$.The algebraic equations for the matter curves $Σ_t_i$, $Σ_t_i+t_j$, $Σ_t_i-t_j$ in terms of the $t_i$ weights associated with the $SU_5^⊥$ fundamental representation are respectively given by $t_i=0$; $( t_i+t_j) _i<j=0$ and $±( t_i-t_j) _i<j=0$; they are denoted like $10_t_i,$ $5̅_t_i+t_j$ and $1_±( t_i-t_j)$; see eq(<ref>).

    MSSM-like from $SU_{5}\times D_{4}$ Models · Abelian monodromy · 0.91

  • These are readily determined from the known Chern classes of the $b_k$ coefficients through the equations $b_k=b_k(a_i)$ given in ([ref]), using well known procedures [ref] .

    Phenomenological implications of a minimal F-theory GUT with discrete symmetry · The discrete group $D_4$ as a Family Symmetry · 0.87

Uses its data or values 1 paper
Compares with it 5 papers
Cites it as background 21 papers

What it cites · 72 sentences without a confident label

Uses data or values from 2 papers
Compares with 1 paper
Cites as support 2 papers
  • As shown in [ref] 3-curve models can recreate realistic quark and lepton mixing at the GUT level.

    Froggatt-Nielsen models from E8 in F-theory GUTs · Froggatt-Nielsen and quark-lepton mass splitting · 0.96

  • The second is that it is possible to realise the idea that each MSSM generation comes from a different matter curve which as shown in [ref] can lead to attractive models of flavour.

    Family symmetries in F-theory GUTs · Introduction · 0.98

Cites as background 27 papers
  • Recently string GUT constructions have been developed in the context of F-theory [ref] (see [ref] for a phenomenological review).

    Particle Physics Implications of F-theory · Introduction · 1.00

  • Recently string GUT constructions have been developed in the context of F-theory [ref] (see [ref] for a phenomenological review).

    Model Building with F-Theory · Introduction · 1.00

  • Recently string GUT constructions have been developed in the context of F-theory [ref] (see [ref] for a phenomenological review).

    Breaking GUT Groups in F-Theory · Introduction · 1.00

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