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Title: Abelian F-theory models with charge-3 and charge-4 matter

Abstract

This paper analyzes U(1) F-theory models admitting matter with charges q = 3 and 4. First, we systematically derive a q = 3 construction that generalizes the previous q = 3 examples. We argue that U(1) symmetries can be tuned through a procedure reminiscent of the SU(N) and Sp(N) tuning process. For models with q = 3 matter, the components of the generating section vanish to orders higher than 1 at the charge-3 matter loci. As a result, the Weierstrass models can contain non-UFD structure and thereby deviate from the standard Morrison-Park form. Techniques used to tune SU(N) models on singular divisors allow us to determine the non-UFD structures and derive the q = 3 tuning from scratch. Here, we also obtain a class of a q=4 models by deforming a prior U(1) × U(1) construction. To the author’s knowledge, this is the first published F-theory example with charge-4 matter. Finally, we discuss some conjectures regarding models with charges larger than 4.

Authors:
 [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics, Dept. of Physics
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1499039
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: 2018; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; F-Theory; Superstring Vacua

Citation Formats

Raghuram, Nikhil. Abelian F-theory models with charge-3 and charge-4 matter. United States: N. p., 2018. Web. doi:10.1007/jhep05(2018)050.
Raghuram, Nikhil. Abelian F-theory models with charge-3 and charge-4 matter. United States. https://doi.org/10.1007/jhep05(2018)050
Raghuram, Nikhil. Tue . "Abelian F-theory models with charge-3 and charge-4 matter". United States. https://doi.org/10.1007/jhep05(2018)050. https://www.osti.gov/servlets/purl/1499039.
@article{osti_1499039,
title = {Abelian F-theory models with charge-3 and charge-4 matter},
author = {Raghuram, Nikhil},
abstractNote = {This paper analyzes U(1) F-theory models admitting matter with charges q = 3 and 4. First, we systematically derive a q = 3 construction that generalizes the previous q = 3 examples. We argue that U(1) symmetries can be tuned through a procedure reminiscent of the SU(N) and Sp(N) tuning process. For models with q = 3 matter, the components of the generating section vanish to orders higher than 1 at the charge-3 matter loci. As a result, the Weierstrass models can contain non-UFD structure and thereby deviate from the standard Morrison-Park form. Techniques used to tune SU(N) models on singular divisors allow us to determine the non-UFD structures and derive the q = 3 tuning from scratch. Here, we also obtain a class of a q=4 models by deforming a prior U(1) × U(1) construction. To the author’s knowledge, this is the first published F-theory example with charge-4 matter. Finally, we discuss some conjectures regarding models with charges larger than 4.},
doi = {10.1007/jhep05(2018)050},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2018,
place = {United States},
year = {2018},
month = {5}
}

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Cited by: 11 works
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Works referenced in this record:

Tall sections from non-minimal transformations
journal, October 2016

  • Morrison, David R.; Park, Daniel S.
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)033

General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure
journal, November 2015

  • Cvetič, Mirjam; Klevers, Denis; Piragua, Hernan
  • Journal of High Energy Physics, Vol. 2015, Issue 11
  • DOI: 10.1007/JHEP11(2015)204

U(1) symmetries in F-theory GUTs with multiple sections
journal, March 2013

  • Mayrhofer, Christoph; Palti, Eran; Weigand, Timo
  • Journal of High Energy Physics, Vol. 2013, Issue 3
  • DOI: 10.1007/JHEP03(2013)098

Froggatt-Nielsen meets Mordell-Weil: a phenomenological survey of global F-theory GUTs with U(1)s
journal, November 2015

  • Krippendorf, Sven; Schäfer-Nameki, Sakura; Wong, Jin-Mann
  • Journal of High Energy Physics, Vol. 2015, Issue 11
  • DOI: 10.1007/JHEP11(2015)008

Constraints on 6D supergravity theories with abelian gauge symmetry
journal, January 2012

  • Park, Daniel S.; Taylor, Washington
  • Journal of High Energy Physics, Vol. 2012, Issue 1
  • DOI: 10.1007/JHEP01(2012)141

Matter and singularities
journal, January 2012

  • Morrison, David R.; Taylor, Washington
  • Journal of High Energy Physics, Vol. 2012, Issue 1
  • DOI: 10.1007/JHEP01(2012)022

F-theory and all things rational: surveying U(1) symmetries with rational sections
journal, September 2015

  • Lawrie, Craig; Schäfer-Nameki, Sakura; Wong, Jin-Mann
  • Journal of High Energy Physics, Vol. 2015, Issue 9
  • DOI: 10.1007/JHEP09(2015)144

Weak coupling limit of F-theory models with MSSM spectrum and massless U(1)’s
journal, March 2018

  • Mayorga Peña, Damián Kaloni; Valandro, Roberto
  • Journal of High Energy Physics, Vol. 2018, Issue 3
  • DOI: 10.1007/JHEP03(2018)107

Matter from geometry
journal, July 1997


Exotic matter on singular divisors in F-theory
journal, November 2017

  • Klevers, Denis; Morrison, David R.; Raghuram, Nikhil
  • Journal of High Energy Physics, Vol. 2017, Issue 11
  • DOI: 10.1007/JHEP11(2017)124

Elliptic fibrations with rank three Mordell-Weil group: F-theory with U(1)×U(1)×U(1) gauge symmetry
journal, March 2014

  • Cvetič, Mirjam; Klevers, Denis; Piragua, Hernan
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)021

Arithmetic on elliptic threefolds
journal, May 2004


Rational Points of Abelian Varieties Over Function Fields
journal, January 1959

  • Lang, S.; Neron, A.
  • American Journal of Mathematics, Vol. 81, Issue 1
  • DOI: 10.2307/2372851

When rational sections become cyclic — Gauge enhancement in F-theory via Mordell-Weil torsion
journal, March 2018

  • Baume, Florent; Cvetič, Mirjam; Lawrie, Craig
  • Journal of High Energy Physics, Vol. 2018, Issue 3
  • DOI: 10.1007/JHEP03(2018)069

The global gauge group structure of F-theory compactification with U(1)s
journal, January 2018


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

  • Klevers, Denis; Mayorga Peña, Damián Kaloni; Oehlmann, Paul-Konstantin
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)142

The toric SO(10) F-theory landscape
journal, December 2017

  • Buchmüller, W.; Dierigl, M.; Oehlmann, P. -K.
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)035

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


F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds
journal, October 2012

  • Morrison, David R.; Park, Daniel S.
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)128

F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections
journal, June 2013

  • Cvetič, Mirjam; Klevers, Denis; Piragua, Hernan
  • Journal of High Energy Physics, Vol. 2013, Issue 6
  • DOI: 10.1007/JHEP06(2013)067

Three-index symmetric matter representations of SU(2) in F-theory from non-Tate form Weierstrass models
journal, June 2016

  • Klevers, Denis; Taylor, Washington
  • Journal of High Energy Physics, Vol. 2016, Issue 6
  • DOI: 10.1007/JHEP06(2016)171

Tuned and non-Higgsable U(1)s in F-theory
journal, March 2017


Lectures on F-theory compactifications and model building
journal, October 2010


The fate of U(1)’s at strong coupling in F-theory
journal, July 2014

  • Braun, Andreas P.; Collinucci, Andrés; Valandro, Roberto
  • Journal of High Energy Physics, Vol. 2014, Issue 7
  • DOI: 10.1007/JHEP07(2014)028

Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds
journal, May 2012

  • Bonetti, Federico; Grimm, Thomas W.
  • Journal of High Energy Physics, Vol. 2012, Issue 5
  • DOI: 10.1007/JHEP05(2012)019

The <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math> effective action of F-theory compactifications
journal, April 2011


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


Small resolutions of SU(5)-models in F-theory
journal, January 2013


Anomaly cancellation in six dimensions
journal, April 1994

  • Erler, Jens
  • Journal of Mathematical Physics, Vol. 35, Issue 4
  • DOI: 10.1063/1.530885

A note on G-fluxes for F-theory model building
journal, November 2010

  • Marsano, Joseph; Saulina, Natalia; Schäfer-Nameki, Sakura
  • Journal of High Energy Physics, Vol. 2010, Issue 11
  • DOI: 10.1007/JHEP11(2010)088

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

  • Braun, Volker; Grimm, Thomas W.; Keitel, Jan
  • Journal of High Energy Physics, Vol. 2013, Issue 12
  • DOI: 10.1007/JHEP12(2013)069

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

  • Cvetič, Mirjam; Grassi, Antonella; Klevers, Denis
  • Journal of High Energy Physics, Vol. 2014, Issue 4
  • DOI: 10.1007/JHEP04(2014)010

6D supergravity without tensor multiplets
journal, April 2011

  • Kumar, Vijay; Park, Daniel S.; Taylor, Washington
  • Journal of High Energy Physics, Vol. 2011, Issue 4
  • DOI: 10.1007/JHEP04(2011)080

Anomaly cancellation and abelian gauge symmetries in F-theory
journal, February 2013

  • Cvetič, Mirjam; Grimm, Thomas W.; Klevers, Denis
  • Journal of High Energy Physics, Vol. 2013, Issue 2
  • DOI: 10.1007/JHEP02(2013)101

Tate’s algorithm and F-theory
journal, August 2011

  • Katz, Sheldon; Morrison, David R.; Schäfer-Nameki, Sakura
  • Journal of High Energy Physics, Vol. 2011, Issue 8
  • DOI: 10.1007/JHEP08(2011)094

<mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mrow><mml:mi mathvariant="italic">SU</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>5</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> tops with multiple <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>s in F-theory
journal, May 2014


Generalized Green-Schwarz mechanism in F theory
journal, November 1996


Anomaly equations and intersection theory
journal, January 2012


F-GUTs with Mordell–Weil <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>'s
journal, July 2014


F-theory on genus-one fibrations
journal, August 2014

  • Braun, Volker; Morrison, David R.
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)132

Geometric singularities and enhanced gauge symmetries
journal, December 1996


Tate’s algorithm for F-theory GUTs with two U(1)s
journal, March 2015


Quantization of anomaly coefficients in 6D N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ supergravity
journal, February 2018

  • Monnier, Samuel; Moore, Gregory W.; Park, Daniel S.
  • Journal of High Energy Physics, Vol. 2018, Issue 2
  • DOI: 10.1007/JHEP02(2018)020

F-theory vacua with Z 3 gauge symmetry
journal, September 2015


Physics of F-theory compactifications without section
journal, December 2014

  • Anderson, Lara B.; García-Etxebarria, Iñaki; Grimm, Thomas W.
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)156

Unification and LHC phenomenology of F-theory GUTs with U(1) P Q
journal, December 2011

  • Dolan, Matthew J.; Marsano, Joseph; Schäfer-Nameki, Sakura
  • Journal of High Energy Physics, Vol. 2011, Issue 12
  • DOI: 10.1007/JHEP12(2011)032

Works referencing / citing this record:

An infinite swampland of U(1) charge spectra in 6D supergravity theories
journal, June 2018

  • Taylor, Washington; Turner, Andrew P.
  • Journal of High Energy Physics, Vol. 2018, Issue 6
  • DOI: 10.1007/jhep06(2018)010

High U(1) charges in type IIB models and their F-theory lift
preprint, January 2018


Tensionless Strings and the Weak Gravity Conjecture
text, January 2018


High U(1) charges in type IIB models and their F-theory lift
journal, April 2019

  • Cianci, Francesco Mattia; Mayorga Peña, Damián K.; Valandro, Roberto
  • Journal of High Energy Physics, Vol. 2019, Issue 4
  • DOI: 10.1007/jhep04(2019)012

6d SCFTs and U(1) flavour symmetries
journal, November 2018

  • Lee, Seung-Joo; Regalado, Diego; Weigand, Timo
  • Journal of High Energy Physics, Vol. 2018, Issue 11
  • DOI: 10.1007/jhep11(2018)147

An infinite swampland of U(1) charge spectra in 6D supergravity theories
text, January 2018


6d SCFTs and U(1) Flavour Symmetries
text, January 2018


Tensionless strings and the weak gravity conjecture
journal, October 2018

  • Lee, Seung-Joo; Lerche, Wolfgang; Weigand, Timo
  • Journal of High Energy Physics, Vol. 2018, Issue 10
  • DOI: 10.1007/jhep10(2018)164

Generic matter representations in 6D supergravity theories
journal, May 2019

  • Taylor, Washington; Turner, Andrew P.
  • Journal of High Energy Physics, Vol. 2019, Issue 5
  • DOI: 10.1007/jhep05(2019)081