Stability of the Minimal Heterotic Standard Model Bundle

Burt A. Ovrut; Volker Braun; Yang-Hui He

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Stability of the Minimal Heterotic Standard Model Bundle

Volker Braun, Yang-Hui He, Burt A. Ovrut

High Energy Physics - Theory · Submitted 7 Feb 2006

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

The authors' main claim In this paper, it is explicitly proven that the SU(4) holomorphic vector bundle leading to the MSSM spectrum in the observable sector is slope-stable.

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.27 · compares with prior results 0.05 · mentions code or data availability 0.02.

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

The observable sector of the "minimal heterotic standard model" has precisely the matter spectrum of the MSSM: three families of quarks and leptons, each with a right-handed neutrino, and one Higgs-Higgs conjugate pair. In this paper, it is explicitly proven that the SU(4) holomorphic vector bundle leading to the MSSM spectrum in the observable sector is slope-stable.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The observable sector of the "minimal heterotic standard model" has precisely the matter spectrum of the MSSM: three families of quarks and leptons, each with a right-handed neutrino, and one Higgs-Higgs conjugate pair.	background 0.97	0.18	0.05	asserted 1.00
s1	In this paper, it is explicitly proven that the SU(4) holomorphic vector bundle leading to the MSSM spectrum in the observable sector is slope-stable.	result 0.92	0.95	0.89	asserted 1.00

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

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arXiv listing abstract v1

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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

The observable sector of the "minimal heterotic standard model" has precisely the matter spectrum of the MSSM: three families of quarks and leptons, each with a right-handed neutrino, and one Higgs-Higgs conjugate pair. In this paper, it is explicitly proven that the SU(4) holomorphic vector bundle leading to the MSSM spectrum in the observable sector is slope-stable.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
hep-th 2006-03 conditional novelty 6.0 of 10

Explicit three-generation heterotic vacua with flipped SU(5) or Standard Model gauge group are constructed on simply connected Calabi-Yau threefolds, using massless U(1) combinations from line bundles in both E8 factors.
Stabilizing Moduli with a Positive Cosmological Constant in Heterotic M-Theory
hep-th 2006-03 conditional novelty 5.0 of 10

Adding anti-five-branes to the minimal heterotic standard model lifts the moduli-stabilized vacuum to a meta-stable de Sitter state with a small positive cosmological constant and exact MSSM matter content.

How the literature uses it

16 arXiv papers cite this in 41 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 · 32 sentences without a confident label

Cites it as support 4 papers

As proven in detail in [ref] , the $SU(4)$ vector bundle is slope-stable, and hence, satisfies the Hermitian Yang–Mills equations [ref] , in a restricted region of the positive Kähler cone specified by

Explicit Soft Supersymmetry Breaking in the Heterotic M-Theory $B-L$ MSSM · Observable Sector Constraints · 0.96
As proven in detail in [ref] , this will be the case in a subspace of the Kähler cone defined by seven inequalities.

Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models · The Observable Sector Bundle · 0.96
This view was supported by the results of [ref] , which showed that hidden sector bundles are compatible with the Bogomolov inequality and so stable hidden sector bundles likely exist.

Hidden Sectors from Multiple Line Bundles for the $B-L$ MSSM · Introduction · 0.99

Cites it as background 5 papers

In <ref>, we review the Calabi-Yau threefold and observable sector gauge bundle of the heterotic standard model introduced in [ref] .

Supersymmetric Hidden Sectors for Heterotic Standard Models · Introduction · 0.92
The spectrum of the $B-L$ MSSM is determined by the structure of the Schoen threefold [ref] and the precise choice of $SU(4)$ bundle [ref] .

Hidden Sectors from Multiple Line Bundles for the $B-L$ MSSM · B-L MSSM Vacuum · 0.81
The structure of this bundle was discussed in [ref] .

The strongly coupled $E_8\times E_8$ heterotic string: Geometry $\&$ Phenomenology · The Observable Sector Bundle · 0.94

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