Fibration structure in toric hypersurface Calabi-Yau threefolds

Huang, Yu-Chien; Taylor, Washington

doi:10.1007/JHEP03(2020)172

Title: Fibration structure in toric hypersurface Calabi-Yau threefolds

Abstract

We find through a systematic analysis that all but 29,223 of the 473.8 million 4D reflexive polytopes found by Kreuzer and Skarke have a 2D reflexive subpolytope. Such a subpolytope is generally associated with the presence of an elliptic or genus one fibration in the corresponding birational equivalence class of Calabi-Yau threefolds. This extends the growing body of evidence that most Calabi-Yau threefolds have an elliptically fibered phase.

Authors:

Huang, Yu-Chien ^[1]; Taylor, Washington ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics

Publication Date:: 2020-03-27

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1630289

Grant/Contract Number:: SC0012567

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Differential and Algebraic Geometry; F-Theory; Superstring Vacua

Citation Formats


                    Huang, Yu-Chien, and Taylor, Washington. Fibration structure in toric hypersurface Calabi-Yau threefolds.  United States: N. p., 2020. 
Web.  doi:10.1007/JHEP03(2020)172.

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                    Huang, Yu-Chien, & Taylor, Washington. Fibration structure in toric hypersurface Calabi-Yau threefolds.  United States.  https://doi.org/10.1007/JHEP03(2020)172

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                    Huang, Yu-Chien, and Taylor, Washington. Fri .  
"Fibration structure in toric hypersurface Calabi-Yau threefolds".  United States.  https://doi.org/10.1007/JHEP03(2020)172.  https://www.osti.gov/servlets/purl/1630289.

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@article{osti_1630289,

  title        = {Fibration structure in toric hypersurface Calabi-Yau threefolds},

  author       = {Huang, Yu-Chien and Taylor, Washington},

  abstractNote = {We find through a systematic analysis that all but 29,223 of the 473.8 million 4D reflexive polytopes found by Kreuzer and Skarke have a 2D reflexive subpolytope. Such a subpolytope is generally associated with the presence of an elliptic or genus one fibration in the corresponding birational equivalence class of Calabi-Yau threefolds. This extends the growing body of evidence that most Calabi-Yau threefolds have an elliptically fibered phase.},

  doi          = {10.1007/JHEP03(2020)172},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 3,

  volume       = 2020,

  place        = {United States},

  year         = {2020},

  month        = {3}

}

Copy to clipboard

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Title: Fibration structure in toric hypersurface Calabi-Yau threefolds

Abstract

Citation Formats

Fibrations in CICY threefolds journal, October 2017

Vector Bundles and F Theory journal, August 1997

A new construction of Calabi–Yau manifolds: Generalized CICYs journal, May 2016

Evidence for F-theory journal, June 1996

Vacuum configurations for superstrings journal, January 1985

A finiteness theorem for elliptic Calabi-Yau threefolds journal, May 1994

Compactifications of F-theory on Calabi-Yau threefolds. (I) journal, August 1996

Compactifications of F-theory on Calabi-Yau threefolds (II) journal, September 1996

On minimal models of elliptic threefolds journal, March 1991

Global aspects of the space of 6D $ \mathcal{N} = 1 $ supergravities journal, November 2010

Toric bases for 6D F-theory models journal, May 2012

On the Hodge structure of elliptically fibered Calabi-Yau threefolds journal, August 2012

Non-toric bases for elliptic Calabi–Yau threefolds and 6D F-theory vacua journal, January 2017

Calabi-Yau threefolds with large h 2,1 journal, October 2014

Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds: Enhanced gauge symmetry in 6D F-theory models… journal, August 2016

Complete intersection Calabi-Yau manifolds journal, March 1988

Complete classification of reflexive polyhedra in four dimensions journal, January 2000

Multiple fibrations in Calabi-Yau geometry and string dualities journal, October 2016

Fibrations in non-simply connected Calabi-Yau quotients journal, August 2018

An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts journal, October 2013

Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers journal, February 2019

On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds journal, March 2019

hypersurfaces in algebraic tori journal, February 1993

Calabi-Yau 4-folds and toric fibrations journal, July 1998

Toric elliptic fibrations and F-theory compactifications journal, January 2013

Affine Kac-Moody algebras, CHL strings and the classification of tops journal, January 2003

Geometric engineering in toric F-theory and GUTs with U(1) gauge factors journal, December 2013

F-theory on all toric hypersurface fibrations and its Higgs branches journal, January 2015

Mirror symmetry and elliptic Calabi-Yau manifolds journal, April 2019

Duality between the webs of heterotic and type II vacua journal, February 1998

Codimension-three bundle singularities in F-theory journal, June 2002

The Tate form on steroids: resolution and higher codimension fibers journal, April 2013

Elliptic fibrations for S U ( 5 ) × U ( 1 ) × U ( 1 ) F-theory vacua journal, August 2013

Chiral four-dimensional F-theory compactifications with SU(5) and multiple U(1)-factors journal, April 2014

Global Tensor-Matter Transitions in F-Theory journal, June 2018

A note on non-flat points in the SU(5) × U(1)PQ F-theory model journal, May 2019

Phases of 5d SCFTs from M-/F-theory on non-flat fibrations journal, May 2019

Fibers add flavor. Part I. Classification of 5d SCFTs, flavor symmetries and BPS states journal, November 2019

A Generalized Construction of Calabi-Yau Models and Mirror Symmetry journal, January 2018

Classifying bases for 6D F-theory models journal, January 2012

Calabi-Yau four-folds for M- and F-theory compactifications journal, May 1998

A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua journal, January 2016

The Expanding Zoo of Calabi-Yau Threefolds journal, January 2011

Complete intersection fibers in F-theory journal, March 2015

Topological string on elliptic CY 3-folds and the ring of Jacobi forms journal, October 2015

Topological invariants and fibration structure of complete intersection Calabi-Yau four-folds journal, September 2014

All Weight Systems for Calabi–Yau Fourfolds from Reflexive Polyhedra journal, February 2019

Algorithmic universality in F-theory compactifications journal, December 2017

Scanning the skeleton of the 4D F-theory landscape journal, January 2018

Fibrations in CICY threefolds
journal, October 2017

Vector Bundles and F Theory
journal, August 1997

A new construction of Calabi–Yau manifolds: Generalized CICYs
journal, May 2016

Evidence for F-theory
journal, June 1996

Vacuum configurations for superstrings
journal, January 1985

A finiteness theorem for elliptic Calabi-Yau threefolds
journal, May 1994

Compactifications of F-theory on Calabi-Yau threefolds. (I)
journal, August 1996

Compactifications of F-theory on Calabi-Yau threefolds (II)
journal, September 1996

On minimal models of elliptic threefolds
journal, March 1991

Global aspects of the space of 6D $ \mathcal{N} = 1 $ supergravities
journal, November 2010

Toric bases for 6D F-theory models
journal, May 2012

On the Hodge structure of elliptically fibered Calabi-Yau threefolds
journal, August 2012

Non-toric bases for elliptic Calabi–Yau threefolds and 6D F-theory vacua
journal, January 2017

Calabi-Yau threefolds with large h 2,1
journal, October 2014

Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds: Enhanced gauge symmetry in 6D F-theory models…
journal, August 2016

Complete intersection Calabi-Yau manifolds
journal, March 1988

Complete classification of reflexive polyhedra in four dimensions
journal, January 2000

Multiple fibrations in Calabi-Yau geometry and string dualities
journal, October 2016

Fibrations in non-simply connected Calabi-Yau quotients
journal, August 2018

An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts
journal, October 2013

Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers
journal, February 2019

On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds
journal, March 2019

hypersurfaces in algebraic tori
journal, February 1993

Calabi-Yau 4-folds and toric fibrations
journal, July 1998

Toric elliptic fibrations and F-theory compactifications
journal, January 2013

Affine Kac-Moody algebras, CHL strings and the classification of tops
journal, January 2003

Geometric engineering in toric F-theory and GUTs with U(1) gauge factors
journal, December 2013

F-theory on all toric hypersurface fibrations and its Higgs branches
journal, January 2015

Mirror symmetry and elliptic Calabi-Yau manifolds
journal, April 2019

Duality between the webs of heterotic and type II vacua
journal, February 1998

Codimension-three bundle singularities in F-theory
journal, June 2002

The Tate form on steroids: resolution and higher codimension fibers
journal, April 2013

Elliptic fibrations for $S U (5) \times U (1) \times U (1)$ F-theory vacua
journal, August 2013

Chiral four-dimensional F-theory compactifications with SU(5) and multiple U(1)-factors
journal, April 2014

Global Tensor-Matter Transitions in F-Theory
journal, June 2018

A note on non-flat points in the SU(5) × U(1)PQ F-theory model
journal, May 2019

Phases of 5d SCFTs from M-/F-theory on non-flat fibrations
journal, May 2019

Fibers add flavor. Part I. Classification of 5d SCFTs, flavor symmetries and BPS states
journal, November 2019

A Generalized Construction of Calabi-Yau Models and Mirror Symmetry
journal, January 2018

Classifying bases for 6D F-theory models
journal, January 2012

Calabi-Yau four-folds for M- and F-theory compactifications
journal, May 1998

A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua
journal, January 2016

The Expanding Zoo of Calabi-Yau Threefolds
journal, January 2011

Complete intersection fibers in F-theory
journal, March 2015

Topological string on elliptic CY 3-folds and the ring of Jacobi forms
journal, October 2015

Topological invariants and fibration structure of complete intersection Calabi-Yau four-folds
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All Weight Systems for Calabi–Yau Fourfolds from Reflexive Polyhedra
journal, February 2019

Algorithmic universality in F-theory compactifications
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Scanning the skeleton of the 4D F-theory landscape
journal, January 2018