Generic matter representations in 6D supergravity theories

Taylor, Washington; Turner, Andrew P.

doi:10.1007/jhep05(2019)081

Title: Generic matter representations in 6D supergravity theories

Abstract

>In six-dimensional supergravity, there is a natural sense in which matter lying in certain representations of the gauge group is “generic,” in that other “exotic” matter representations require more fine tuning. From considerations of the dimensionality of the moduli space and anomaly cancellation conditions, we find that the generic sets of matter representations are well-defined for 6D supergravity theories with gauge groups containing arbitrary numbers of nonabelian factors and U(1) factors. These generic matter representations also match with those that arise in the most generic F-theory constructions, both in 6D and in 4D, with non-generic matter representations requiring more exotic singularity types. The analysis of generic versus exotic matter illuminates long-standing puzzles regarding F-theory models with multiple U(1) factors and provides a useful framework for analyzing the 6D “swampland” of apparently consistent low-energy theories that cannot be realized through known string constructions. We note also that the matter content of the standard model is generic by the criteria used here only if the global structure is SU(3)c× SU(2)L× U(1)Y/Z6.

Authors:

Taylor, Washington ^[1];

^[1]

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

Publication Date:: Wed May 15 00:00:00 EDT 2019

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

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

OSTI Identifier:: 1611868

Alternate Identifier(s):: OSTI ID: 1907421

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: 2019; Journal Issue: 5; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; F-Theory; Field Theories in Higher Dimensions; Supergravity Models

Citation Formats


                    Taylor, Washington, and Turner, Andrew P. Generic matter representations in 6D supergravity theories.  United States: N. p., 2019. 
Web.  doi:10.1007/jhep05(2019)081.

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                    Taylor, Washington, & Turner, Andrew P. Generic matter representations in 6D supergravity theories.  United States.  https://doi.org/10.1007/jhep05(2019)081

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                    Taylor, Washington, and Turner, Andrew P. Wed .  
"Generic matter representations in 6D supergravity theories".  United States.  https://doi.org/10.1007/jhep05(2019)081.  https://www.osti.gov/servlets/purl/1611868.

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@article{osti_1611868,

  title        = {Generic matter representations in 6D supergravity theories},

  author       = {Taylor, Washington and Turner, Andrew P.},

  abstractNote = {>In six-dimensional supergravity, there is a natural sense in which matter lying in certain representations of the gauge group is “generic,” in that other “exotic” matter representations require more fine tuning. From considerations of the dimensionality of the moduli space and anomaly cancellation conditions, we find that the generic sets of matter representations are well-defined for 6D supergravity theories with gauge groups containing arbitrary numbers of nonabelian factors and U(1) factors. These generic matter representations also match with those that arise in the most generic F-theory constructions, both in 6D and in 4D, with non-generic matter representations requiring more exotic singularity types. The analysis of generic versus exotic matter illuminates long-standing puzzles regarding F-theory models with multiple U(1) factors and provides a useful framework for analyzing the 6D “swampland” of apparently consistent low-energy theories that cannot be realized through known string constructions. We note also that the matter content of the standard model is generic by the criteria used here only if the global structure is SU(3)c× SU(2)L× U(1)Y/Z6.},

  doi          = {10.1007/jhep05(2019)081},

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

  number       = 5,

  volume       = 2019,

  place        = {United States},

  year         = {Wed May 15 00:00:00 EDT 2019},

  month        = {Wed May 15 00:00:00 EDT 2019}

}

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Title: Generic matter representations in 6D supergravity theories

Abstract

Citation Formats

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

Tensionless strings and the weak gravity conjecture journal, October 2018

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

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

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F-theory on Genus-One Fibrations text, January 2014

Matter and singularities journal, January 2012

Superconformal Partition Functions and Non-perturbative Topological Strings preprint, January 2012

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

6d Conformal matter journal, February 2015

Symmetries and strings in field theory and gravity journal, April 2011

6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces journal, June 2015

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

Evidence for F-Theory text, January 1996

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

Superconformal partition functions and non-perturbative topological strings journal, October 2018

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

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

String universality in six dimensions journal, January 2011

More anomaly free models of six-dimensional gauged supergravity journal, June 2006

Enumerative combinatorics journal, November 2008

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

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

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

Universal features of BPS strings in six-dimensional SCFTs journal, August 2018

Algorithmic universality in F-theory compactifications journal, December 2017

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

M-Strings journal, August 2014

Non-Higgsable clusters for 4D F-theory models journal, May 2015

Evidence for F-theory journal, June 1996

F-theory duals of singular heterotic K3 models journal, January 2015

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

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

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

Anomaly cancellation in six dimensions journal, April 1994

Lectures on Constructing String Vacua book, January 2008

Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory text, January 2014

Large U(1) charges in F-theory journal, October 2018

Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers text, January 2018

F-theory on quotient threefolds with (2,0) discrete superconformal matter journal, June 2018

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

The frozen phase of F-theory text, January 2018

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

6D supergravity without tensor multiplets journal, April 2011

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

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

Abelian F-theory Models with Charge-3 and Charge-4 Matter text, January 2017

Nongeometric heterotic strings and dual F-theory with enhanced gauge groups journal, February 2019

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

Mapping 6D $ \mathcal{N} = 1 $ supergravities to F-theory journal, February 2010

Charge Lattices and Consistency of 6D Supergravity text, January 2011

Non-Higgsable abelian gauge symmetry and $\mathrm{F}$-theory on fiber products of rational elliptic surfaces journal, January 2018

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

Anomaly equations and intersection theory journal, January 2012

4D gauge theories with conformal matter journal, September 2018

Towards exotic matter and discrete non-abelian symmetries in F-theory journal, November 2018

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

String Universality in Six Dimensions preprint, January 2009

Mordell-Weil torsion and the global structure of gauge groups in F-theory journal, October 2014

Geometric singularities and enhanced gauge symmetries journal, December 1996

Anomaly Equations and Intersection Theory text, January 2011

F-theory models on K3 surfaces with various Mordell-Weil ranks — constructions that use quadratic base change of rational elliptic surfaces journal, May 2018

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

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

6d string chains journal, February 2018

6D SCFTs and gravity journal, June 2015

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

Tensionless Strings and the Weak Gravity Conjecture text, January 2018

Exotic matter on singular divisors in F-theory text, January 2017

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

Topological strings on singular elliptic Calabi-Yau 3-folds and minimal 6d SCFTs journal, March 2018

Line Operators in the Standard Model text, January 2017

Nongeometric heterotic strings and dual F-theory with enhanced gauge groups text, January 2018

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

Tensionless strings and the weak gravity conjecture
journal, October 2018

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

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

The frozen phase of F-theory
journal, August 2018

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

F-theory on Genus-One Fibrations
text, January 2014

Matter and singularities
journal, January 2012

Superconformal Partition Functions and Non-perturbative Topological Strings
preprint, January 2012

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

6d Conformal matter
journal, February 2015

Symmetries and strings in field theory and gravity
journal, April 2011

6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces
journal, June 2015

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

Evidence for F-Theory
text, January 1996

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

Superconformal partition functions and non-perturbative topological strings
journal, October 2018

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

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

String universality in six dimensions
journal, January 2011

More anomaly free models of six-dimensional gauged supergravity
journal, June 2006

Enumerative combinatorics
journal, November 2008

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

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

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

Universal features of BPS strings in six-dimensional SCFTs
journal, August 2018

Algorithmic universality in F-theory compactifications
journal, December 2017

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

M-Strings
journal, August 2014

Non-Higgsable clusters for 4D F-theory models
journal, May 2015

Evidence for F-theory
journal, June 1996

F-theory duals of singular heterotic K3 models
journal, January 2015

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

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

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

Anomaly cancellation in six dimensions
journal, April 1994

Lectures on Constructing String Vacua
book, January 2008

Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory
text, January 2014

Large U(1) charges in F-theory
journal, October 2018

Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers
text, January 2018

F-theory on quotient threefolds with (2,0) discrete superconformal matter
journal, June 2018

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

The frozen phase of F-theory
text, January 2018

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

6D supergravity without tensor multiplets
journal, April 2011

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

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

Abelian F-theory Models with Charge-3 and Charge-4 Matter
text, January 2017

Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
journal, February 2019

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

Mapping 6D $ \mathcal{N} = 1 $ supergravities to F-theory
journal, February 2010

Charge Lattices and Consistency of 6D Supergravity
text, January 2011

Non-Higgsable abelian gauge symmetry and $\mathrm{F}$-theory on fiber products of rational elliptic surfaces
journal, January 2018

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

Anomaly equations and intersection theory
journal, January 2012

4D gauge theories with conformal matter
journal, September 2018

Towards exotic matter and discrete non-abelian symmetries in F-theory
journal, November 2018

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

String Universality in Six Dimensions
preprint, January 2009

Mordell-Weil torsion and the global structure of gauge groups in F-theory
journal, October 2014

Geometric singularities and enhanced gauge symmetries
journal, December 1996

Anomaly Equations and Intersection Theory
text, January 2011

F-theory models on K3 surfaces with various Mordell-Weil ranks — constructions that use quadratic base change of rational elliptic surfaces
journal, May 2018

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

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

6d string chains
journal, February 2018

6D SCFTs and gravity
journal, June 2015

F-theory vacua with $Z_{3}$ gauge symmetry
journal, September 2015

Tensionless Strings and the Weak Gravity Conjecture
text, January 2018

Exotic matter on singular divisors in F-theory
text, January 2017

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

Topological strings on singular elliptic Calabi-Yau 3-folds and minimal 6d SCFTs
journal, March 2018

Line Operators in the Standard Model
text, January 2017

Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
text, January 2018

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

Ueber den Zusammenhang zwischen einigen Formen von symmetrischen Functionen.
journal, January 1882

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