Hypercharge Flux, Exotics, and Anomaly Cancellation in F-theory GUTs

Joseph Marsano

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Hypercharge Flux, Exotics, and Anomaly Cancellation in F-theory GUTs

Joseph Marsano

High Energy Physics - Theory · Submitted 9 Nov 2010

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

The authors' main claim We sharpen constraints related to hypercharge flux in F-theory GUTs that possess U(1) symmetries and argue that they arise as a consequence of 4-dimensional anomaly cancellation.

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We sharpen constraints related to hypercharge flux in F-theory GUTs that possess U(1) symmetries and argue that they arise as a consequence of 4-dimensional anomaly cancellation. This gives a physical explanation for all restrictions that were observed in spectral cover models while demonstrating that the phenomenological implications for a well-motivated set of models are not tied to any particular formalism.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We sharpen constraints related to hypercharge flux in F-theory GUTs that possess U(1) symmetries and argue that they arise as a consequence of 4-dimensional anomaly cancellation.	contribution 0.95	0.90	0.79	asserted 0.99
s1	This gives a physical explanation for all restrictions that were observed in spectral cover models while demonstrating that the phenomenological implications for a well-motivated set of models are not tied to any particular formalism.	interpretation 0.96	0.83	0.28	asserted 1.00

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The paper

Original abstract

We sharpen constraints related to hypercharge flux in F-theory GUTs that possess U(1) symmetries and argue that they arise as a consequence of 4-dimensional anomaly cancellation. This gives a physical explanation for all restrictions that were observed in spectral cover models while demonstrating that the phenomenological implications for a well-motivated set of models are not tied to any particular formalism.

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References

Forward citations

Cited by 10 Pith papers

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

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.
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.
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.
F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
hep-th 2012-08 accept novelty 6.0 of 10

Seven explicit elliptically fibered Calabi-Yau threefolds are constructed that realize six-dimensional F-theory vacua with a single U(1) gauge group and matter of charges 1 and 2, matching anomaly predictions.

Show 5 more citing papers

Anomaly Equations and Intersection Theory
hep-th 2011-11 accept novelty 6.0 of 10

The anomaly equations of 6D (1,0) supergravity are equivalent to three intersection-theory identities on the resolved Calabi-Yau threefold, with abelian anomaly coefficients given by minus the projection of the inters...
Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds
hep-th 2011-06 conditional novelty 6.0 of 10

A systematic scan of line-bundle sums on complete-intersection Calabi-Yau threefolds with up to five Kahler parameters yields 208 heterotic models with the MSSM matter spectrum, the Standard Model gauge group, and no exotics.
Heterotic Line Bundle Standard Models
hep-th 2012-02 conditional novelty 5.0 of 10

About 400 explicit heterotic line bundle compactifications reproduce the Standard Model matter spectrum with three families, one to three Higgs pairs, and no exotic charged states, catalogued in a public database.
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.
TASI Lectures on Supergravity and String Vacua in Various Dimensions
hep-th 2011-04 accept novelty 3.0 of 10

Anomaly cancellation plus supersymmetry leaves exactly four consistent ten-dimensional supergravities, all realized by string theory, while in eight and six dimensions the space of apparently consistent theories is la...

How the literature uses it

33 arXiv papers cite this in 55 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 · 42 sentences without a confident label

Compares with it 1 paper

Unlike the constraints ([ref]) and ([ref]), the constraint ([ref]) does not come out from the type of local geometry or spectral cover analysis presented in [ref] for example.

A Note on Hypercharge Flux, Anomalies, and U(1)s in F-theory GUTs · GUT Anomalies and the Local Geometry · 0.81

Cites it as background 9 papers

This phenomenon was discovered in [ref] in IIB string theory (see also [ref] ), and was propagated to F-theory in [ref] (see [ref] for a review).

Hypercharge flux in F-theory and the stable Sen limit · Introduction · 0.90
The geometric techniques that can be defined on complex manifolds enable us to build theories with rich phenomenology [ref] .

F-theory and the Witten Index · F-theory, D7-Branes Intersections and 8-dimensional SYM · 0.91
F-theory [ref] , has received a prominent role lately, due to the fact that GUTs can be consistently constructed and well founded, within F-theory's wide theoretical framework.

F-theory Yukawa Couplings and Supersymmetric Quantum Mechanics · Introduction · 0.97

What it cites · 10 sentences without a confident label

Cites as background 4 papers

The second important ingredient is “hypercharge flux", which provides an elegant mechanism for breaking the GUT group while addressing the doublet-triplet splitting problem [ref] .

Breaking GUT Groups in F-Theory · Introduction · 0.83
This approach is particularly appealing for the construction of Grand Unified Theories (GUTs) [ref] as the charged sector is engineered on a single stack of branes.

Model Building with F-Theory · Introduction · 0.84
While several approaches to flavor have been suggested in the past few years [ref] , the mechanism of wave function overlaps is particularly attractive [ref] .

Yukawa Couplings in F-theory and Non-Commutative Geometry · Implications of the Generalized Dudas-Palti Relations · 0.97

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