Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories

Yonekura, Kazuya

doi:10.1007/JHEP07(2015)167

Title: Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories

Abstract

We consider general 5d SU(N ) quiver gauge theories whose nodes form an ADE Dynkin diagram of type G. Each node has SU(N i ) gauge group of general rank, Chern-Simons level κ _i and additional w i fundamentals. When the total flavor number at each node is less than or equal to 2N i - 2|κ _i |, we give general rules under which the symmetries associated to instanton currents are enhanced to G × G or a subgroup of it in the UV 5d superconformal theory. When the total flavor number violates that condition at some of the nodes, further enhancement of flavor symmetries occurs. In particular we find a large class of gauge theories interpreted as S1 compactification of 6d superconformal theories which are waiting for string/F-theory realization. We also consider hypermultiplets in (anti-)symmetric representation.

Authors:

Yonekura, Kazuya ^[1]

Inst. for Advanced Study, Princeton, NJ (United States)

Publication Date:: Fri Jul 31 00:00:00 EDT 2015

Research Org.:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1454725

Grant/Contract Number:: SC0009988

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: 2015; Journal Issue: 7; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetric gauge theory, Field Theories in Higher Dimensions, Solitons Monopoles and Instantons

Citation Formats


                    Yonekura, Kazuya. Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP07(2015)167.

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                    Yonekura, Kazuya. Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories.  United States.  https://doi.org/10.1007/JHEP07(2015)167

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                    Yonekura, Kazuya. Fri .  
"Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories".  United States.  https://doi.org/10.1007/JHEP07(2015)167.  https://www.osti.gov/servlets/purl/1454725.

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@article{osti_1454725,

  title        = {Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories},

  author       = {Yonekura, Kazuya},

  abstractNote = {We consider general 5d SU(N ) quiver gauge theories whose nodes form an ADE Dynkin diagram of type G. Each node has SU(N i ) gauge group of general rank, Chern-Simons level κ i and additional w i fundamentals. When the total flavor number at each node is less than or equal to 2N i - 2|κ i |, we give general rules under which the symmetries associated to instanton currents are enhanced to G × G or a subgroup of it in the UV 5d superconformal theory. When the total flavor number violates that condition at some of the nodes, further enhancement of flavor symmetries occurs. In particular we find a large class of gauge theories interpreted as S1 compactification of 6d superconformal theories which are waiting for string/F-theory realization. We also consider hypermultiplets in (anti-)symmetric representation.},

  doi          = {10.1007/JHEP07(2015)167},

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

  number       = 7,

  volume       = 2015,

  place        = {United States},

  year         = {Fri Jul 31 00:00:00 EDT 2015},

  month        = {Fri Jul 31 00:00:00 EDT 2015}

}

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Works referencing / citing this record:

Equivalence of several descriptions for 6d SCFT
journal, January 2017

Hayashi, Hirotaka; Kim, Sung-Soo; Lee, Kimyeong
Journal of High Energy Physics, Vol. 2017, Issue 1
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Sequences of 6d SCFTs on generic Riemann surfaces
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Razamat, Shlomo S.; Sabag, Evyatar
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Testing 5d-6d dualities with fractional D-branes
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6D SCFTs and phases of 5D theories
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Brane webs and $O5$-planes
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Zafrir, Gabi
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Testing 5d-6d dualities with fractional D-branes
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Equivalence of several descriptions for 6d SCFT
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3d Coulomb branch and 5d Higgs branch at infinite coupling
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Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling
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Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
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Sequences of $6d$ SCFTs on generic Riemann surfaces
text, January 2019

Razamat, Shlomo S.; Sabag, Evyatar
arXiv
DOI: 10.48550/arxiv.1910.03603

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Title: Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories

Abstract

Citation Formats

Topological strings and 5d T N partition functions journal, June 2014

Fiber-base duality and global symmetry enhancement journal, April 2015

Branes, superpotentials and superconformal fixed points journal, October 1997

Mass-deformed T N as a linear quiver journal, February 2015

Exact partition functions of Higgsed 5d T N theories journal, January 2015

5-dim superconformal index with enhanced E n global symmetry journal, October 2012

Five dimensional SUSY field theories, non-trivial fixed points and string dynamics journal, November 1996

Supersymmetrizing 5d instanton operators journal, March 2015

Branes and six-dimensional supersymmetric theories journal, September 1998

5d superconformal indices at large N and holography journal, August 2013

Webs of ( p , q ) 5-branes, five dimensional field theories and grid diagrams journal, January 1998

Extremal transitions and five-dimensional supersymmetric field theories journal, January 1997

Instanton operators in five-dimensional gauge theories journal, March 2015

Small instantons, del Pezzo surfaces and type I' theory journal, July 1997

6d Conformal matter journal, February 2015

Instanton operators and symmetry enhancement in 5D supersymmetric gauge theories journal, April 2015

General instanton counting and 5d SCFT journal, July 2015

Lifting 4d dualities to 5d journal, April 2015

Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces journal, July 1997

Webs of five-branes and 𝒩 = 2 superconformal field theories journal, September 2009

Instanton operators and symmetry enhancement in 5d supersymmetric USp, SO and exceptional gauge theories journal, July 2015

Discrete θ and the 5d superconformal index journal, January 2014

Classification of 4d $ \mathcal{N} $ =2 gauge theories journal, December 2013

Anomaly polynomial of general 6D SCFTs journal, October 2014

On the classification of 6D SCFTs and generalized ADE orbifolds journal, May 2014

Five-branes, seven-branes and five-dimensional E n field theories journal, March 1999

Duality and enhancement of symmetry in 5d gauge theories journal, December 2014

Atomic classification of 6D SCFTs: Atomic classification of 6D SCFTs journal, June 2015

5-brane webs, symmetry enhancement, and duality in 5d supersymmetric gauge theory journal, March 2014

Current algebra, baryons, and quark confinement journal, August 1983

M5-Branes, Toric Diagrams and Gauge Theory Duality journal, January 2013

Fiber-Base Duality and Global Symmetry Enhancement text, January 2015

6d Conformal matter text, January 2015

5-dim Superconformal Index with Enhanced En Global Symmetry text, January 2012

5d superconformal indices at large N and holography text, January 2013

Discrete theta and the 5d superconformal index text, January 2013

On the Classification of 6D SCFTs and Generalized ADE Orbifolds text, January 2013

6d Conformal Matter text, January 2014

Duality and enhancement of symmetry in 5d gauge theories text, January 2014

Anomaly polynomial of general 6d SCFTs text, January 2014

Exact partition functions of Higgsed 5d $T_N$ theories text, January 2014

Lifting 4d dualities to 5d text, January 2014

Mass-deformed $T_N$ as a linear quiver text, January 2014

Instanton Operators in Five-Dimensional Gauge Theories text, January 2014

Supersymmetrizing 5d instanton operators preprint, January 2015

Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics text, January 1996

Extremal Transitions and Five-Dimensional Supersymmetric Field Theories text, January 1996

Small Instantons, del Pezzo Surfaces and Type I' theory text, January 1996

Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces text, January 1997

Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams text, January 1997

Five-branes, Seven-branes and Five-dimensional E_n field theories text, January 1999

Equivalence of several descriptions for 6d SCFT journal, January 2017

Sequences of 6d SCFTs on generic Riemann surfaces journal, January 2020

More on 5d descriptions of 6d SCFTs journal, October 2016

Testing 5d-6d dualities with fractional D-branes journal, December 2016

6D SCFTs and phases of 5D theories text, January 2017

Instanton Operators and the Higgs Branch at Infinite Coupling text, January 2015

Brane webs and $O5$-planes text, January 2015

More on 5d descriptions of 6d SCFTs text, January 2015

Testing 5d-6d dualities with fractional D-branes text, January 2016

Equivalence of several descriptions for 6d SCFT text, January 2016

Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey text, January 2017

3d Coulomb branch and 5d Higgs branch at infinite coupling text, January 2017

Quiver Subtractions text, January 2018

Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling text, January 2018

Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations text, January 2018

Sequences of $6d$ SCFTs on generic Riemann surfaces text, January 2019

Topological strings and 5d T N partition functions
journal, June 2014

Fiber-base duality and global symmetry enhancement
journal, April 2015

Branes, superpotentials and superconformal fixed points
journal, October 1997

Mass-deformed T N as a linear quiver
journal, February 2015

Exact partition functions of Higgsed 5d T N theories
journal, January 2015

5-dim superconformal index with enhanced E n global symmetry
journal, October 2012

Five dimensional SUSY field theories, non-trivial fixed points and string dynamics
journal, November 1996

Supersymmetrizing 5d instanton operators
journal, March 2015

Branes and six-dimensional supersymmetric theories
journal, September 1998

5d superconformal indices at large N and holography
journal, August 2013

Webs of ( p , q ) 5-branes, five dimensional field theories and grid diagrams
journal, January 1998

Extremal transitions and five-dimensional supersymmetric field theories
journal, January 1997

Instanton operators in five-dimensional gauge theories
journal, March 2015

Small instantons, del Pezzo surfaces and type I' theory
journal, July 1997

6d Conformal matter
journal, February 2015

Instanton operators and symmetry enhancement in 5D supersymmetric gauge theories
journal, April 2015

General instanton counting and 5d SCFT
journal, July 2015

Lifting 4d dualities to 5d
journal, April 2015

Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces
journal, July 1997

Webs of five-branes and 𝒩 = 2 superconformal field theories
journal, September 2009

Instanton operators and symmetry enhancement in 5d supersymmetric USp, SO and exceptional gauge theories
journal, July 2015

Discrete θ and the 5d superconformal index
journal, January 2014

Classification of 4d $ \mathcal{N} $ =2 gauge theories
journal, December 2013

Anomaly polynomial of general 6D SCFTs
journal, October 2014

On the classification of 6D SCFTs and generalized ADE orbifolds
journal, May 2014

Five-branes, seven-branes and five-dimensional E _n field theories
journal, March 1999

Duality and enhancement of symmetry in 5d gauge theories
journal, December 2014

Atomic classification of 6D SCFTs: Atomic classification of 6D SCFTs
journal, June 2015

5-brane webs, symmetry enhancement, and duality in 5d supersymmetric gauge theory
journal, March 2014

Current algebra, baryons, and quark confinement
journal, August 1983

M5-Branes, Toric Diagrams and Gauge Theory Duality
journal, January 2013

Fiber-Base Duality and Global Symmetry Enhancement
text, January 2015

6d Conformal matter
text, January 2015

5-dim Superconformal Index with Enhanced En Global Symmetry
text, January 2012

5d superconformal indices at large N and holography
text, January 2013

Discrete theta and the 5d superconformal index
text, January 2013

On the Classification of 6D SCFTs and Generalized ADE Orbifolds
text, January 2013

6d Conformal Matter
text, January 2014

Duality and enhancement of symmetry in 5d gauge theories
text, January 2014

Anomaly polynomial of general 6d SCFTs
text, January 2014

Exact partition functions of Higgsed 5d $T_N$ theories
text, January 2014

Lifting 4d dualities to 5d
text, January 2014

Mass-deformed $T_N$ as a linear quiver
text, January 2014

Instanton Operators in Five-Dimensional Gauge Theories
text, January 2014

Supersymmetrizing 5d instanton operators
preprint, January 2015

Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
text, January 1996

Extremal Transitions and Five-Dimensional Supersymmetric Field Theories
text, January 1996

Small Instantons, del Pezzo Surfaces and Type I' theory
text, January 1996

Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
text, January 1997

Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
text, January 1997

Five-branes, Seven-branes and Five-dimensional E_n field theories
text, January 1999

Equivalence of several descriptions for 6d SCFT
journal, January 2017

Sequences of 6d SCFTs on generic Riemann surfaces
journal, January 2020

More on 5d descriptions of 6d SCFTs
journal, October 2016

Testing 5d-6d dualities with fractional D-branes
journal, December 2016

6D SCFTs and phases of 5D theories
text, January 2017

Instanton Operators and the Higgs Branch at Infinite Coupling
text, January 2015

Brane webs and $O5$-planes
text, January 2015

More on 5d descriptions of 6d SCFTs
text, January 2015

Testing 5d-6d dualities with fractional D-branes
text, January 2016

Equivalence of several descriptions for 6d SCFT
text, January 2016

Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey
text, January 2017

3d Coulomb branch and 5d Higgs branch at infinite coupling
text, January 2017

Quiver Subtractions
text, January 2018

Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling
text, January 2018

Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
text, January 2018

Sequences of $6d$ SCFTs on generic Riemann surfaces
text, January 2019