Large U(1) charges in F-theory

Raghuram, Nikhil; Taylor, Washington

doi:10.1007/jhep10(2018)182

Title: Large U(1) charges in F-theory

Abstract

We show that massless fields with large abelian charges (up to at least q = 21) can be constructed in 6D F-theory models with a U(1) gauge group. To show this, we explicitly construct F-theory Weierstrass models with nonabelian gauge groups that can be broken to U(1) theories with a variety of large charges. Determining the maximum abelian charge allowed in such a theory is key to eliminating what seems currently to be an infinite swampland of apparently consistent U(1) supergravity theories with large charges.

Authors:

Raghuram, Nikhil ^[1]; Taylor, Washington ^[2]

Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)

Publication Date:: Mon Oct 29 00:00:00 EDT 2018

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

Sponsoring Org.:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

OSTI Identifier:: 1611869

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: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; F-Theory; Supergravity Models; Superstring Vacua

Citation Formats


                    Raghuram, Nikhil, and Taylor, Washington. Large U(1) charges in F-theory.  United States: N. p., 2018. 
Web.  doi:10.1007/jhep10(2018)182.

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                    Raghuram, Nikhil, & Taylor, Washington. Large U(1) charges in F-theory.  United States.  https://doi.org/10.1007/jhep10(2018)182

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                    Raghuram, Nikhil, and Taylor, Washington. Mon .  
"Large U(1) charges in F-theory".  United States.  https://doi.org/10.1007/jhep10(2018)182.  https://www.osti.gov/servlets/purl/1611869.

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@article{osti_1611869,

  title        = {Large U(1) charges in F-theory},

  author       = {Raghuram, Nikhil and Taylor, Washington},

  abstractNote = {We show that massless fields with large abelian charges (up to at least q = 21) can be constructed in 6D F-theory models with a U(1) gauge group. To show this, we explicitly construct F-theory Weierstrass models with nonabelian gauge groups that can be broken to U(1) theories with a variety of large charges. Determining the maximum abelian charge allowed in such a theory is key to eliminating what seems currently to be an infinite swampland of apparently consistent U(1) supergravity theories with large charges.},

  doi          = {10.1007/jhep10(2018)182},

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

  number       = 10,

  volume       = 2018,

  place        = {United States},

  year         = {Mon Oct 29 00:00:00 EDT 2018},

  month        = {Mon Oct 29 00:00:00 EDT 2018}

}

Copy to clipboard

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Works referencing / citing this record:

Swampland bounds on the Abelian gauge sector
journal, July 2019

Lee, Seung-Joo; Weigand, Timo
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Title: Large U(1) charges in F-theory

Abstract

Citation Formats

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

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Matter and singularities journal, January 2012

A note on the Green-Schwarz mechanism in open-string theories journal, November 1992

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

Matter from geometry journal, July 1997

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

A bound on 6D 𝒩 = 1 supergravities journal, December 2009

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

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

String Universality in Ten Dimensions journal, August 2010

The arithmetic of elliptic fibrations in gauge theories on a circle journal, June 2016

String universality in six dimensions journal, January 2011

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

On Compact Analytic Surfaces: II journal, May 1963

Anomaly-free chiral theories in six dimensions journal, January 1985

Geometric singularities and enhanced gauge symmetries journal, December 1996

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

Abelian F-theory models with charge-3 and charge-4 matter journal, May 2018

Anomalies and the Euler characteristic of elliptic Calabi–Yau threefolds journal, January 2012

8d gauge anomalies and the topological Green-Schwarz mechanism journal, November 2017

Evidence for F-theory journal, June 1996

Anomaly cancellation in six dimensions journal, April 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

Anomaly cancelation in field theory and F-theory on a circle journal, May 2016

Anomaly Cancellation in Six Dimensions text, January 1993

Varieties of vacua in classical supersymmetric gauge theories text, January 1995

Swampland bounds on the Abelian gauge sector journal, July 2019

Swampland Bounds on the Abelian Gauge Sector text, January 2019

LieART—A Mathematica application for Lie algebras and representation theory
journal, July 2015

TASI Lectures on Abelian and Discrete Symmetries in F-theory
conference, September 2018

On the geometry of the string landscape and the swampland
journal, March 2007

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

Charge lattices and consistency of 6D supergravity
journal, June 2011

On Compact Analytic Surfaces, III
journal, July 1963

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

Matter and singularities
journal, January 2012

A note on the Green-Schwarz mechanism in open-string theories
journal, November 1992

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

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

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

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

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

String Universality in Ten Dimensions
journal, August 2010

The arithmetic of elliptic fibrations in gauge theories on a circle
journal, June 2016

String universality in six dimensions
journal, January 2011

F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds
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On Compact Analytic Surfaces: II
journal, May 1963

Anomaly-free chiral theories in six dimensions
journal, January 1985

Geometric singularities and enhanced gauge symmetries
journal, December 1996

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

Abelian F-theory models with charge-3 and charge-4 matter
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Anomalies and the Euler characteristic of elliptic Calabi–Yau threefolds
journal, January 2012

8d gauge anomalies and the topological Green-Schwarz mechanism
journal, November 2017

Evidence for F-theory
journal, June 1996

Anomaly cancellation in six dimensions
journal, April 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

Anomaly cancelation in field theory and F-theory on a circle
journal, May 2016

Anomaly Cancellation in Six Dimensions
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Varieties of vacua in classical supersymmetric gauge theories
text, January 1995

Swampland bounds on the Abelian gauge sector
journal, July 2019

Swampland Bounds on the Abelian Gauge Sector
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