Codimension-Three Bundle Singularities in F-Theory

Bogdan Florea; David R. Morrison; Duiliu-Emanuel Diaconescu; Govindan Rajesh; Philip Candelas

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Codimension-Three Bundle Singularities in F-Theory

Philip Candelas, Duiliu-Emanuel Diaconescu, Bogdan Florea, David R. Morrison, Govindan Rajesh

High Energy Physics - Theory · Submitted 27 Sep 2000

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

The authors' main claim These degenerations result in new four-dimensional infrared physics characterized by light solitonic states whose origin is explained in the dual F-theory model.

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arXiv IDhep-th/0009228 (version 2)

Pith ID7N46PMI4, Pith's permanent record of this paper and its review

CitationBogdan Florea, David R. Morrison, Duiliu-Emanuel Diaconescu, Govindan Rajesh, Philip Candelas. "Codimension-Three Bundle Singularities in F-Theory." arXiv:hep-th/0009228 (2000). https://pith.science/paper/7N46PMI4

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

We study new nonperturbative phenomena in N=1 heterotic string vacua corresponding to pointlike bundle singularities in codimension three. These degenerations result in new four-dimensional infrared physics characterized by light solitonic states whose origin is explained in the dual F-theory model. We also show that such phenomena appear generically in $E_7 \to E_6$ Higgsing and describe in detail the corresponding bundle transition.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study new nonperturbative phenomena in N=1 heterotic string vacua corresponding to pointlike bundle singularities in codimension three.	contribution 1.00	0.90	0.23	asserted 0.98
s1	These degenerations result in new four-dimensional infrared physics characterized by light solitonic states whose origin is explained in the dual F-theory model.	result 0.81	0.72	0.38	asserted 1.00
s2	We also show that such phenomena appear generically in $E_7 \to E_6$ Higgsing and describe in detail the corresponding bundle transition.	result 0.52	0.93	0.26	asserted 1.00

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Original abstract

We study new nonperturbative phenomena in N=1 heterotic string vacua corresponding to pointlike bundle singularities in codimension three. These degenerations result in new four-dimensional infrared physics characterized by light solitonic states whose origin is explained in the dual F-theory model. We also show that such phenomena appear generically in $E_7 \to E_6$ Higgsing and describe in detail the corresponding bundle transition.

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References

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Cited by 17 Pith papers

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

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An integral monodromy basis for Calabi-Yau fourfold periods is constructed and cross-checked, then used to argue that integer fluxes can drive F-theory moduli to orbifold and gauge-enhancement loci.
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A complete computer enumeration finds 61,539 toric bases for 6D F-theory, with tensor multiplet number from 0 to 193, and confirms that the toric monomial count reproduces the gravitational anomaly condition on every base.
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How the literature uses it

28 arXiv papers cite this in 42 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 · 35 sentences without a confident label

Compares with it 1 paper

Some of these results in this section resemble those obtained from the spectral construction of stable sheaves on elliptic fibrations (e.g. see [ref] ), as well as results obtained by Yoshioka, where he assumes the existence of a section for the fibration (see [ref] ).

Stability and Fourier-Mukai transforms on elliptic fibrations · Application 2: pure codimension-1 sheaves · 0.96

Cites it as support 1 paper

If the Weierstrass coefficients $f$ and $g$ have multiplicities at $P_μ$ which exceed $4$ for $f$ and $6$ for $g$, then there is no desingularization of the Weierstrass model which is flat [ref] , which means that there would be tensionless strings in the low-energy theory.

Box Graphs and Singular Fibers · Local models for fibers in codimension three · 0.96

Cites it as background 4 papers

The physics of this a non-flat fibration has been discussed in [ref] .

Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors · Yukawa Couplings: Codimension Three · 0.92
In the context of F-theory, such fibrations have been systematically studied in [ref] for Kodaira fibers, with examples in codimension two and three appearing in [ref] .

Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States · Introduction · 0.94
Many F-theory geometries contain $(4, 6)$ (or higher) singularities in the elliptic fibration over codimension-three loci in the base [ref] ; these are often associated with non-flat fibers in the resolution [ref] .

Chiral matter multiplicities and resolution-independent structure in 4D F-theory models · Codimension-three $(4, 6)$ loci · 0.98

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