(0,4) dualities

Putrov, Pavel; Song, Jaewon; Yan, Wenbin

doi:10.1007/JHEP03(2016)185

Title: (0,4) dualities

Abstract

We study a class of two-dimensional N = (0; 4) quiver gauge theories that flow to superconformal field theories. We find dualities for the superconformal field theories similar to the 4d N = 2 theories of class S, labelled by a Riemann surface C. The dual descriptions arise from various pair-of-pants decompositions, that involve an analog of the T_N theory. Especially, we find the superconformal indices of such theories can be written in terms of a topological field theory on C. In conclusion, we interpret this class of SCFTs as the ones coming from compactifying 6d N = (2; 0) theory on CP¹ x C. Moreover, some new dualities of (0; 2) and (2; 2) theories are also discussed.

Authors:

Putrov, Pavel ^[1]; Song, Jaewon ^[2]; Yan, Wenbin ^[1]

California Inst. of Technology (CalTech), Pasadena, CA (United States)
Univ. of California, San Diego, La Jolla, CA (United States)

Publication Date:: Tue Mar 29 00:00:00 EDT 2016

Research Org.:: Univ. of California, San Diego, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1326970

Grant/Contract Number:: SC0009919

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: 2016; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; field theories in lower dimensions; supersymmetric gauge theory; supersymmetry and duality; topological field theories

Citation Formats


                    Putrov, Pavel, Song, Jaewon, and Yan, Wenbin. (0,4) dualities.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP03(2016)185.

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                    Putrov, Pavel, Song, Jaewon, & Yan, Wenbin. (0,4) dualities.  United States.  https://doi.org/10.1007/JHEP03(2016)185

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                    Putrov, Pavel, Song, Jaewon, and Yan, Wenbin. Tue .  
"(0,4) dualities".  United States.  https://doi.org/10.1007/JHEP03(2016)185.  https://www.osti.gov/servlets/purl/1326970.

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@article{osti_1326970,

  title        = {(0,4) dualities},

  author       = {Putrov, Pavel and Song, Jaewon and Yan, Wenbin},

  abstractNote = {We study a class of two-dimensional N = (0; 4) quiver gauge theories that flow to superconformal field theories. We find dualities for the superconformal field theories similar to the 4d N = 2 theories of class S, labelled by a Riemann surface C. The dual descriptions arise from various pair-of-pants decompositions, that involve an analog of the TN theory. Especially, we find the superconformal indices of such theories can be written in terms of a topological field theory on C. In conclusion, we interpret this class of SCFTs as the ones coming from compactifying 6d N = (2; 0) theory on CP1 x C. Moreover, some new dualities of (0; 2) and (2; 2) theories are also discussed.},

  doi          = {10.1007/JHEP03(2016)185},

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

  number       = 3,

  volume       = 2016,

  place        = {United States},

  year         = {Tue Mar 29 00:00:00 EDT 2016},

  month        = {Tue Mar 29 00:00:00 EDT 2016}

}

Copy to clipboard

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Counting Exceptional Instantons
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Keller, Christoph A.; Song, Jaewon
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Mirror Symmetry in 2+1 and 1+1 Dimensions
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Two dimensional N$$ \mathcal{N} $$ = (0, 4) quivers dual to AdS3 solutions in massive IIA
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Black holes and (0,4) SCFTs from type IIB on K3
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Title: (0,4) dualities

Abstract

Citation Formats

(0, 2) trialities journal, March 2014

N = 2 dualities journal, August 2012

S-duality and 2d topological QFT journal, March 2010

Four Dimensional Superconformal Index from q -Deformed Two Dimensional Yang-Mills Theory journal, June 2011

Gauge Theories and Macdonald Polynomials journal, November 2012

The superconformal index of the E 6 SCFT journal, August 2010

An N = 2 superconformal fixed point with E6 global symmetry journal, December 1996

A strong coupling test of S-duality journal, December 1994

Group theory for unified model building journal, December 1981

Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD journal, December 1994

On the conformal field theory of the Higgs branch journal, July 1997

Walls, lines, and spectral dualities in 3d gauge theories journal, May 2014

Elliptic Genera of Two-Dimensional $${\mathcal{N} = 2}$$ N = 2 Gauge Theories with Rank-One Gauge Groups journal, November 2013

Elliptic Genera of 2d $${\mathcal{N}}$$ N = 2 Gauge Theories journal, November 2014

The Hilbert series of the one instanton moduli space journal, June 2010

Tri-vertices and SU(2)’s journal, February 2011

On a Class of Quasihomogeneous Affine Varieties journal, August 1972

Counting exceptional instantons journal, July 2012

IR dynamics of d = 2, Script N = (4,4) gauge theories and DLCQ of "little string theories" journal, October 1999

S-duality in N = 2 supersymmetric gauge theories journal, December 2007

Mirror symmetry in 2+1 and 1+1 dimensions journal, July 2001

NILPOTENT ORBITS AND CODIMENSION-2 DEFECTS OF 6d${\mathcal N} = (2, 0)$ THEORIES journal, February 2013

Phases of N = 2 theories in two dimensions journal, August 1993

Heterotic vortex strings journal, May 2007

The holographic dual of AdS 3 × S3 × S3 × S1 journal, April 2014

Sigma models and the ADHM construction of instantons journal, February 1995

Harmonic Spinors journal, September 1974

S-duality and 2d Topological QFT text, January 2009

The Superconformal Index of the E_6 SCFT text, January 2010

Counting Exceptional Instantons text, January 2012

Bootstrapping the superconformal index with surface defects text, January 2012

2d Index and Surface operators text, January 2013

3d dualities from 4d dualities text, January 2013

Mirror Symmetry in 2+1 and 1+1 Dimensions text, January 2001

Phases of $N=2$ Theories In Two Dimensions text, January 1993

A Strong Coupling Test of S-Duality text, January 1994

Sigma Models And The ADHM Construction Of Instantons text, January 1994

An N=2 Superconformal Fixed Point with E_6 Global Symmetry text, January 1996

On The Conformal Field Theory Of The Higgs Branch text, January 1997

Two dimensional N$$ \mathcal{N} $$ = (0, 4) quivers dual to AdS3 solutions in massive IIA journal, January 2020

2d small N=4 Long-multiplet superconformal block journal, February 2019

A “Lagrangian” for the E7 superconformal theory journal, May 2018

Black holes and (0,4) SCFTs from type IIB on K3 journal, August 2019

Wilson loops in 5d N = 1 $$ \mathcal{N}=1 $$ theories and S-duality journal, October 2018

Instantons from blow-up journal, November 2019

Universal RG flows across dimensions and holography journal, December 2017

AdS3 solutions in massive IIA, defect CFTs and T-duality journal, December 2019

VOA[ M 4 ] journal, January 2020

Hidden exceptional symmetry in the pure spinor superstring journal, January 2020

1 / 4 BPS solutions and the AdS 3 / CFT 2 correspondence journal, January 2020

IR duality in 2D N = ( 0 , 2 ) gauge theory with noncompact dynamics journal, March 2019

Two-dimensional SCFTs from D3-branes text, January 2015

Universal RG Flows Across Dimensions and Holography text, January 2017

2d small N=4 Long-multiplet superconformal block text, January 2018

Instantons from Blow-up text, January 2019

(0, 2) trialities
journal, March 2014

N = 2 dualities
journal, August 2012

S-duality and 2d topological QFT
journal, March 2010

Four Dimensional Superconformal Index from $q$ -Deformed Two Dimensional Yang-Mills Theory
journal, June 2011

Gauge Theories and Macdonald Polynomials
journal, November 2012

The superconformal index of the E 6 SCFT
journal, August 2010

An N = 2 superconformal fixed point with E6 global symmetry
journal, December 1996

A strong coupling test of S-duality
journal, December 1994

Group theory for unified model building
journal, December 1981

Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
journal, December 1994

On the conformal field theory of the Higgs branch
journal, July 1997

Walls, lines, and spectral dualities in 3d gauge theories
journal, May 2014

Elliptic Genera of Two-Dimensional $${\mathcal{N} = 2}$$ N = 2 Gauge Theories with Rank-One Gauge Groups
journal, November 2013

Elliptic Genera of 2d $${\mathcal{N}}$$ N = 2 Gauge Theories
journal, November 2014

The Hilbert series of the one instanton moduli space
journal, June 2010

Tri-vertices and SU(2)’s
journal, February 2011

On a Class of Quasihomogeneous Affine Varieties
journal, August 1972

Counting exceptional instantons
journal, July 2012

IR dynamics of d = 2, Script N = (4,4) gauge theories and DLCQ of "little string theories"
journal, October 1999

S-duality in N = 2 supersymmetric gauge theories
journal, December 2007

Mirror symmetry in 2+1 and 1+1 dimensions
journal, July 2001

NILPOTENT ORBITS AND CODIMENSION-2 DEFECTS OF 6d${\mathcal N} = (2, 0)$ THEORIES
journal, February 2013

Phases of N = 2 theories in two dimensions
journal, August 1993

Heterotic vortex strings
journal, May 2007

The holographic dual of AdS 3 × S3 × S3 × S1
journal, April 2014

Sigma models and the ADHM construction of instantons
journal, February 1995

Harmonic Spinors
journal, September 1974

S-duality and 2d Topological QFT
text, January 2009

The Superconformal Index of the E_6 SCFT
text, January 2010

Counting Exceptional Instantons
text, January 2012

Bootstrapping the superconformal index with surface defects
text, January 2012

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text, January 2013

3d dualities from 4d dualities
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Mirror Symmetry in 2+1 and 1+1 Dimensions
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Phases of $N=2$ Theories In Two Dimensions
text, January 1993

A Strong Coupling Test of S-Duality
text, January 1994

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text, January 1994

An N=2 Superconformal Fixed Point with E_6 Global Symmetry
text, January 1996

On The Conformal Field Theory Of The Higgs Branch
text, January 1997

Two dimensional N$$ \mathcal{N} $$ = (0, 4) quivers dual to AdS3 solutions in massive IIA
journal, January 2020

2d small N=4 Long-multiplet superconformal block
journal, February 2019

A “Lagrangian” for the E7 superconformal theory
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Black holes and (0,4) SCFTs from type IIB on K3
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Instantons from blow-up
journal, November 2019

Universal RG flows across dimensions and holography
journal, December 2017

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journal, December 2019

VOA[ M ₄ ]
journal, January 2020

Hidden exceptional symmetry in the pure spinor superstring
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$1 / 4$ BPS solutions and the ${AdS}_{3} / {CFT}_{2}$ correspondence
journal, January 2020

IR duality in 2D $N = (0, 2)$ gauge theory with noncompact dynamics
journal, March 2019

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2d small N=4 Long-multiplet superconformal block
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