Global SO(10) F-theory GUTs

Ching-Ming Chen; Christoph Mayrhofer; Johanna Knapp; Maximilian Kreuzer

RECORD

Global SO(10) F-theory GUTs

Ching-Ming Chen, Johanna Knapp, Maximilian Kreuzer, Christoph Mayrhofer

High Energy Physics - Theory · Submitted 31 May 2010

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

The authors' main claim Making use of toric geometry we construct a class of global F-theory GUT models.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

The compiled record

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,508 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Making use of toric geometry we construct a class of global F-theory GUT models. The base manifolds are blowups of Fano threefolds and the Calabi-Yau fourfold is a complete intersection of two hypersurfaces. We identify possible GUT divisors and construct SO(10) models on them using the spectral cover construction. We use a split spectral cover to generate chiral matter on the 10 curves in order to get more degrees of freedom in phenomenology. We use abelian flux to break SO(10) to SU(5)\times U(1) which is interpreted as a flipped SU(5) model. With the GUT Higgses in the SU(5)\times U(1) model it is possible to further break the gauge symmetry to the Standard Model. We present several phenomenologically attractive examples in detail.

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	Making use of toric geometry we construct a class of global F-theory GUT models.	contribution 0.98	0.95	0.12	asserted 1.00
s1	The base manifolds are blowups of Fano threefolds and the Calabi-Yau fourfold is a complete intersection of two hypersurfaces.	method 0.84	0.78	0.04	asserted 1.00
s2	We identify possible GUT divisors and construct SO(10) models on them using the spectral cover construction.	contribution 0.64	0.95	0.11	asserted 0.92
s3	We use a split spectral cover to generate chiral matter on the 10 curves in order to get more degrees of freedom in phenomenology.	method 0.95	0.93	0.06	asserted 1.00
s4	We use abelian flux to break SO(10) to SU(5)\times U(1) which is interpreted as a flipped SU(5) model.	method 0.80	0.89	0.17	asserted 1.00
s5	With the GUT Higgses in the SU(5)\times U(1) model it is possible to further break the gauge symmetry to the Standard Model.	result 0.62	0.62	0.18	hedged possibility 0.89
s6	We present several phenomenologically attractive examples in detail.	contribution 0.89	0.92	0.15	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read

arXiv listing abstract v2

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

Making use of toric geometry we construct a class of global F-theory GUT models. The base manifolds are blowups of Fano threefolds and the Calabi-Yau fourfold is a complete intersection of two hypersurfaces. We identify possible GUT divisors and construct SO(10) models on them using the spectral cover construction. We use a split spectral cover to generate chiral matter on the 10 curves in order to get more degrees of freedom in phenomenology. We use abelian flux to break SO(10) to SU(5)\times U(1) which is interpreted as a flipped SU(5) model. With the GUT Higgses in the SU(5)\times U(1) model it is possible to further break the gauge symmetry to the Standard Model. We present several phenomenologically attractive examples in detail.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 22 Pith papers

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

Geometric Engineering in Toric F-Theory and GUTs with U(1) Gauge Factors
hep-th 2013-06 conditional novelty 7.0 of 10

A systematic toric algorithm classifies all SU(5) F-theory GUTs with U(1) factors and proves that hypersurface models force all 10-matter fields to share one U(1) charge.
F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections
hep-th 2013-03 accept novelty 7.0 of 10

The elliptic curve with two rational points is realized as the Calabi-Yau onefold in the del Pezzo surface dP2, yielding a complete, anomaly-consistent U(1) x U(1) matter spectrum for F-theory.
New Global F-theory GUTs with U(1) symmetries
hep-th 2013-02 conditional novelty 7.0 of 10

An explicit F-theory compactification on a resolved Calabi-Yau fourfold yields an SU(5)×U(1) GUT whose matter spectrum does not descend from E8 and evades the hypercharge-flux no-go theorem.
U(1) symmetries in F-theory GUTs with multiple sections
hep-th 2012-11 accept novelty 7.0 of 10

Factorised Tate models give a systematic global construction of U(1) symmetries in F-theory SU(5) GUTs, and the SU(5) x U(1)_PQ model contains charge-10 singlets incompatible with a single E8 decomposition.
Gauge Fluxes in F-theory and Type IIB Orientifolds
hep-th 2012-02 accept novelty 7.0 of 10

The universal spectral cover flux of F-theory SU(5) models is identified with the Type IIB gauge flux of the massive diagonal U(1), and the extra massless U(1) flux is matched to a specific linear combination of brane fluxes.

Show 17 more citing papers

Yukawas, G-flux, and Spectral Covers from Resolved Calabi-Yau's
hep-th 2011-08 accept novelty 7.0 of 10

An explicit resolution of elliptically fibered Calabi-Yau fourfolds with A4 singularities yields exact Chern classes, proves a conjectured Euler-characteristic shift, and derives the local Higgs-bundle spectral cover ...
On Flux Quantization in F-Theory
hep-th 2010-11 conditional novelty 7.0 of 10

Smooth F-theory fourfolds always have integrally quantized four-form flux; half-integral quantization arises only from 7-brane singularities on non-spin surfaces, matching the Freed-Witten anomaly.
The N=1 effective action of F-theory compactifications
hep-th 2010-08 conditional novelty 7.0 of 10

A Legendre-transform lift from three-dimensional M-theory on a Calabi-Yau fourfold yields the leading-order four-dimensional N=1 Kahler potential and holomorphic gauge coupling functions of F-theory.
Chow groups, Deligne cohomology and massless matter in F-theory
hep-th 2014-02 conditional novelty 6.0 of 10

A Chow-group and Deligne-cohomology construction extracts a line bundle on each F-theory matter curve whose cohomology groups are conjectured to count the exact charged massless spectrum.
Elliptic Fibrations with Rank Three Mordell-Weil Group: F-theory with U(1) x U(1) x U(1) Gauge Symmetry
hep-th 2013-10 conditional novelty 6.0 of 10

The general elliptic fibration with a rank-three Mordell-Weil group is a complete intersection in the three-point blow-up of P^3, and it yields 14 matter representations including a tri-fundamental, with an anomaly-fr...
SU(5) Tops with Multiple U(1)s in F-theory
hep-th 2013-07 accept novelty 6.0 of 10

Four inequivalent SU(5) x U(1) x U(1) F-theory models are built on Bl2P2[3] fibrations, and one is shown to require Yukawa couplings that no Higgsing of E8 can produce.
Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors
hep-th 2013-06 conditional novelty 6.0 of 10

The authors compute all four-dimensional matter chiralities for F-theory on dP2-fibered Calabi-Yau fourfolds with rank-two Mordell-Weil group, including the previously untreated case of a non-holomorphic zero section,...
Matter From Geometry Without Resolution
hep-th 2013-06 conditional novelty 6.0 of 10

Deforming ADE singularities of an elliptic fibration, instead of resolving them, reproduces the root lattices and high-dimensional representations of the corresponding Lie algebras and the monodromy reduction D4 to G2.
Anomaly Cancellation And Abelian Gauge Symmetries In F-theory
hep-th 2012-10 conditional novelty 6.0 of 10

F-theory fluxes automatically implement the four-dimensional Green-Schwarz mechanism, and the mixed Abelian-gravitational anomaly is the coefficient of a three-dimensional Chern-Simons term for the Kaluza-Klein vector.
Moduli Stabilisation for Chiral Global Models
hep-th 2011-10 conditional novelty 6.0 of 10

An explicit Type IIB Calabi-Yau orientifold with four Kähler moduli is constructed in which all moduli are stabilised inside the Kähler cone while a chiral SU(5)-like brane sector is retained.
G_4 flux, chiral matter and singularity resolution in F-theory compactifications
hep-th 2011-09 conditional novelty 6.0 of 10

A U(1)-restricted F-theory compactification with SU(5) gauge group yields chirality-inducing G4 fluxes whose chiral index equals the U(1) charge times the flux integral over the matter curve, realized in an explicit t...
G-flux in F-theory and algebraic cycles
hep-th 2011-07 accept novelty 6.0 of 10

Explicit four-form fluxes in F-theory are constructed from algebraic cycles in the Weierstrass model, with D3 tadpoles and chirality indices computed and matched to type IIB in weak coupling.
Massive Abelian Gauge Symmetries and Fluxes in F-theory
hep-th 2011-07 conditional novelty 6.0 of 10

Massive Abelian gauge symmetries in F-theory arise from expanding the M-theory three-form on non-harmonic two-forms tied to non-Kahler resolutions, and fluxes along them reproduce known Type IIB tadpoles and chirality.
F-theory fluxes, Chirality and Chern-Simons theories
hep-th 2011-11 accept novelty 5.0 of 10

The net chirality of charged matter in F-theory compactifications equals the integral of the four-form flux over a matter surface built from the cone of effective curves of the resolved fourfold.
F-theory GUTs with U(1) Symmetries: Generalities and Survey
hep-th 2011-02 conditional novelty 5.0 of 10

In F-theory SU(5) GUTs with a PQ symmetry, unification distortion and dimension-5 proton decay suppression are tied to the same integer, and a complete survey of two-U(1) spectral-cover models yields ten viable cases.
Applications of Flux Compactifications in F-Theory
hep-th 2026-08 conditional novelty 3.0 of 10

Flux breaking of rigid E7 and E6 gauge factors in F-theory can produce Standard Model gauge groups, three generations of chiral matter, suppressed proton decay, and U(1) charges as large as 657.
Lectures on F-theory compactifications and model building
hep-th 2010-09 accept novelty 3.0 of 10

A structured survey of F-theory compactifications and F-theory GUT model building, covering elliptic fibration geometry, Tate models, spectral covers, and SU(5) breaking via hypercharge flux.

How the literature uses it

51 arXiv papers cite this in 88 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 · 50 sentences without a confident label

Uses its method or tool 3 papers

The gauge theory will be $SU(5)$ and $SU(5) ×U(1)$ and we perform an explicit resolution of all co-dimension singularities as in [ref] by modifying the toric ambient space.

F-theory fluxes, Chirality and Chern-Simons theories · Introduction · 0.97
These intersection properties can be checked by performing an explicit resolution, employing compact toric methods in [ref] and the local methods and their extensions in [ref] .

Anomaly Cancellation And Abelian Gauge Symmetries In F-theory · F-theory as M-theory & the geometry of resolved fourfolds · 0.96
If the original four-fold $Y_4$ is realised as a hypersurface or complete intersection of a toric space, one can arrive at the same scaling relations and proper transform following the toric algorithm of [ref] as applied more recently to the resolution of Calabi-Yau four-folds in [ref] .

G_4 flux, chiral matter and singularity resolution in F-theory compactifications · U(1)-restricted Tate models and their resolution · 0.94

Compares with it 3 papers

Both of these are in agreement with [ref] , the zero chirality of the $10$ is of course a problem, and is resolved there by taking a factorised spectral cover.

GUT theories from Calabi-Yau 4-folds with SO(10) Singularities · General G-Flux · 0.98
In order to do so we will use a slightly different point of view than in [ref] : instead of classifying weight systems corresponding to blowups we will specify the ambient space by reflexive polyhedra in four dimensions.

Toric Construction of Global F-Theory GUTs · Toric data for base manifolds · 0.86
Our results precisely match the toric resolution techniques applied to elliptic four-folds in [ref] .

G_4 flux, chiral matter and singularity resolution in F-theory compactifications · Summary and Outlook · 0.81

Cites it as support 1 paper

We assume here that these local constructions can be embedded in a global compactification such that the hypercharge remains massless, as has been shown in explicit global realizations [ref] .

Rational F-Theory GUTs without exotics · Introduction and summary of results · 0.99

Cites it as background 28 papers

Most of the work on these models has focused on the GUT group of $(5)$ and its $(1)$ extensions [ref] , while there has also been some study of $(10)$ GUTs [ref] .

Applications of Flux Compactifications in F-Theory · Introduction · 0.91
In this work we assume a geometric singularity of a two-complex dimension Kähler surface $S_GUT$ identified with a group $G_S=SO(10)$ [ For previous studies of F-$SO(10)$ models see for example [ref] .].

Building SO(10) models from F-theory · F-theory model building · 0.87
For the cases of higher rank GUT groups, global $SO(10)$ GUTs have been studied in [ref] and semi-local flipped $SU(5)$ GUTs [ref] have been constructed in [ref] .

On Global Flipped SU(5) GUTs in F-theory · Introduction · 0.89

What it cites · 94 sentences without a confident label

Contests 1 paper

We have compared our results with a formula for the Euler number proposed in [ref] and report on a mismatch we find for several examples.

Global F-theory GUTs · Introduction · contest 0.80

Uses the method or tool of 7 papers

Following [ref] we will blow up points and curves inside the Fano threefolds until the requirements for a GUT model are satisfied.

F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds · General idea · 0.81
Following [ref] we will blow up points and curves inside the Fano threefolds until the requirements for a GUT model are satisfied.

Global F-theory GUTs · General idea · 0.81
We then go on to construct $SO(10)$ models in our geometries making use of the spectral cover construction [ref] .

Principal bundles on elliptic fibrations · Introduction · 1.00

Compares with 1 paper

Note however that the discrepancy we find for several examples between the Euler numbers computed for the fourfolds using toric methods and those calculated a by formula given in [ref] may be due to additional singularities away from the GUT surface.

Global F-theory GUTs · Fourfold · 0.88

Cites as background 26 papers

Global F-theory GUT models have been first constructed in [ref] .

Global F-theory GUTs · Introduction · 0.89
Global F-theory GUT models have been first constructed in [ref] .

Compact F-theory GUTs with U(1)_PQ · Introduction · 0.89
Global F-theory GUT models have been first constructed in [ref] .

F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds · Introduction · 0.89

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.