M5 brane and four dimensional $ \mathcal{N} $ = 1 theories I

Xie, Dan

doi:10.1007/JHEP04(2014)154

Title: M5 brane and four dimensional $$ \mathcal{N} $$ = 1 theories I

Abstract

Four dimensional N=1 theories are engineered by compactifying six dimensional (2,0) theory on a Riemann surface with regular punctures. A generalized Hitchin's equation involving two Higgs fields is proposed as the BPS equation for N=1 compactification. The puncture is interpreted as the singular boundary condition of this equation, and regular puncture is shown to be labeled by a nilpotent commuting pair. In this paper, we focus on a subset of regular puncture which is described by rotating branes representing N=2 puncture. As an application, we show that the Seiberg duality of SU(N) SQCD with N_f=2N and certain superpotential term is realized as different degeneration limits of the same punctured Riemann surface, and also find four more dual theories.

Authors:

Xie, Dan ^[1]

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

Publication Date:: Mon Apr 28 00:00:00 EDT 2014

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

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

OSTI Identifier:: 1599113

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: 2014; Journal Issue: 4; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Xie, Dan. M5 brane and four dimensional $ \mathcal{N} $ = 1 theories I.  United States: N. p., 2014. 
Web.  doi:10.1007/JHEP04(2014)154.

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                    Xie, Dan. M5 brane and four dimensional $ \mathcal{N} $ = 1 theories I.  United States.  https://doi.org/10.1007/JHEP04(2014)154

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                    Xie, Dan. Mon .  
"M5 brane and four dimensional $ \mathcal{N} $ = 1 theories I".  United States.  https://doi.org/10.1007/JHEP04(2014)154.  https://www.osti.gov/servlets/purl/1599113.

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@article{osti_1599113,

  title        = {M5 brane and four dimensional $ \mathcal{N} $ = 1 theories I},

  author       = {Xie, Dan},

  abstractNote = {Four dimensional N=1 theories are engineered by compactifying six dimensional (2,0) theory on a Riemann surface with regular punctures. A generalized Hitchin's equation involving two Higgs fields is proposed as the BPS equation for N=1 compactification. The puncture is interpreted as the singular boundary condition of this equation, and regular puncture is shown to be labeled by a nilpotent commuting pair. In this paper, we focus on a subset of regular puncture which is described by rotating branes representing N=2 puncture. As an application, we show that the Seiberg duality of SU(N) SQCD with Nf=2N and certain superpotential term is realized as different degeneration limits of the same punctured Riemann surface, and also find four more dual theories.},

  doi          = {10.1007/JHEP04(2014)154},

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

  number       = 4,

  volume       = 2014,

  place        = {United States},

  year         = {Mon Apr 28 00:00:00 EDT 2014},

  month        = {Mon Apr 28 00:00:00 EDT 2014}

}

Copy to clipboard

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Works referencing / citing this record:

Punctures and dynamical systems
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The Geometry of SUSY Enhancement
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Carta, Federico; Giacomelli, Simone; Hayashi, Hirotaka
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Eckhard, Julius; Kim, Heeyeon; Schafer-Nameki, Sakura
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Title: M5 brane and four dimensional $$ \mathcal{N} $$ = 1 theories I

Abstract

Citation Formats

N = 2 dualities journal, August 2012

N = 2 generalized superconformal quiver gauge theory journal, September 2012

Branes, superpotentials and superconformal fixed points journal, October 1997

Branches of Script N = 1 vacua and Argyres-Douglas points journal, May 2003

Exactly marginal operators and duality in four dimensional N = 1 supersymmetric gauge theory journal, July 1995

Supersymmetric Boundary Conditions in $\mathcal{N}=4$ Super Yang-Mills Theory journal, February 2009

Moduli Space of Semistable Pairs on a Curve journal, March 1991

The $ \mathcal{N} $ = 1 superconformal index for class $ \mathcal{S} $ fixed points journal, April 2014

The Self-Duality Equations on a Riemann Surface journal, July 1987

$S$-duality of boundary conditions in ${\mathcal N}=4$ super Yang-Mills theory journal, January 2009

Electric-magnetic duality and the geometric Langlands program journal, January 2007

$ \mathcal{N} $ =1 dynamics with T N theory journal, October 2013

Sicilian gauge theories and $$ \mathcal{N} $$ = 1 dualities journal, January 2010

The Yang-Mills Equations over Riemann Surfaces journal, March 1983

Strong coupling dynamics of four-dimensional $N = 1$ gauge theories from M-theory fivebrane journal, January 1997

Six-dimensional D N theory and four-dimensional SO-USp quivers journal, July 2009

Tinkertoys for the D N series journal, February 2013

New $ \mathcal{N}=1 $ superconformal field theories in four dimensions journal, July 2013

General Argyres-Douglas theory journal, January 2013

Brane dynamics and gauge theory journal, July 1999

Principal nilpotent pairs in a semisimple Lie algebra 1 journal, June 2000

Stable bundles and integrable systems journal, January 1987

Towards the Large N Limit of Pure N = 1 Super Yang-Mills Theory journal, January 2001

Generalized Hitchin system, spectral curve and $ \mathcal{N} $ =1 dynamics journal, January 2014

Braves and the dynamics of QCD journal, December 1997

First-order equations for gauge fields in spaces of dimension greater than four journal, April 1983

Solutions of four-dimensional field theories via M-theory journal, September 1997

Holographic Uniformization journal, February 2013

Tinkertoys for Gaiotto duality journal, November 2010

Electric-magnetic duality in supersymmetric non-Abelian gauge theories journal, February 1995

Supergravity Description of Field Theories on Curved Manifolds and a no go Theorem journal, February 2001

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

Superconformal field theory on threebranes at a Calabi-Yau singularity journal, December 1998

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

Four-dimensional SCFTs from M5-branes journal, June 2012

N=2 Generalized Superconformal Quiver Gauge Theory text, January 2010

Holographic Uniformization text, January 2011

Four-Dimensional SCFTs from M5-Branes text, January 2012

3d dualities from 4d dualities text, January 2013

Supergravity description of field theories on curved manifolds and a no go theorem text, January 2000

Electric-Magnetic Duality And The Geometric Langlands Program preprint, January 2006

Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories text, January 1994

Solutions Of Four-Dimensional Field Theories Via M Theory text, January 1997

Brane Dynamics and Gauge Theory text, January 1998

Punctures and dynamical systems journal, August 2018

The geometry of SUSY enhancement text, January 2020

The geometry of SUSY enhancement journal, February 2020

Quiver tails and N = 1 $$ \mathcal{N}=1 $$ SCFTs from M5-branes journal, March 2015

Spectral curves of $\mathcal{N}=1$ theories of class $\mathcal{S}_k$ text, January 2017

The Geometry of SUSY Enhancement text, January 2019

AdS5 solutions from M5-branes on Riemann surface and D6-branes sources text, January 2015

Spectral curves of $\mathcal{N}=1$ theories of class $\mathcal{S}_k$ preprint, January 2015

Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence text, January 2019

N = 2 dualities
journal, August 2012

N = 2 generalized superconformal quiver gauge theory
journal, September 2012

Branes, superpotentials and superconformal fixed points
journal, October 1997

Branches of Script N = 1 vacua and Argyres-Douglas points
journal, May 2003

Exactly marginal operators and duality in four dimensional N = 1 supersymmetric gauge theory
journal, July 1995

Supersymmetric Boundary Conditions in $\mathcal{N}=4$ Super Yang-Mills Theory
journal, February 2009

Moduli Space of Semistable Pairs on a Curve
journal, March 1991

The $ \mathcal{N} $ = 1 superconformal index for class $ \mathcal{S} $ fixed points
journal, April 2014

The Self-Duality Equations on a Riemann Surface
journal, July 1987

$S$-duality of boundary conditions in ${\mathcal N}=4$ super Yang-Mills theory
journal, January 2009

Electric-magnetic duality and the geometric Langlands program
journal, January 2007

$ \mathcal{N} $ =1 dynamics with T N theory
journal, October 2013

Sicilian gauge theories and $$ \mathcal{N} $$ = 1 dualities
journal, January 2010

The Yang-Mills Equations over Riemann Surfaces
journal, March 1983

Strong coupling dynamics of four-dimensional $N = 1$ gauge theories from M-theory fivebrane
journal, January 1997

Six-dimensional D _N theory and four-dimensional SO-USp quivers
journal, July 2009

Tinkertoys for the D N series
journal, February 2013

New $ \mathcal{N}=1 $ superconformal field theories in four dimensions
journal, July 2013

General Argyres-Douglas theory
journal, January 2013

Brane dynamics and gauge theory
journal, July 1999

Principal nilpotent pairs in a semisimple Lie algebra 1
journal, June 2000

Stable bundles and integrable systems
journal, January 1987

Towards the Large $N$ Limit of Pure $N = 1$ Super Yang-Mills Theory
journal, January 2001

Generalized Hitchin system, spectral curve and $ \mathcal{N} $ =1 dynamics
journal, January 2014

Braves and the dynamics of QCD
journal, December 1997

First-order equations for gauge fields in spaces of dimension greater than four
journal, April 1983

Solutions of four-dimensional field theories via M-theory
journal, September 1997

Holographic Uniformization
journal, February 2013

Tinkertoys for Gaiotto duality
journal, November 2010

Electric-magnetic duality in supersymmetric non-Abelian gauge theories
journal, February 1995

Supergravity Description of Field Theories on Curved Manifolds and a no go Theorem
journal, February 2001

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

Superconformal field theory on threebranes at a Calabi-Yau singularity
journal, December 1998

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

Four-dimensional SCFTs from M5-branes
journal, June 2012

N=2 Generalized Superconformal Quiver Gauge Theory
text, January 2010

Holographic Uniformization
text, January 2011

Four-Dimensional SCFTs from M5-Branes
text, January 2012

3d dualities from 4d dualities
text, January 2013

Supergravity description of field theories on curved manifolds and a no go theorem
text, January 2000

Electric-Magnetic Duality And The Geometric Langlands Program
preprint, January 2006

Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
text, January 1994

Solutions Of Four-Dimensional Field Theories Via M Theory
text, January 1997

Brane Dynamics and Gauge Theory
text, January 1998

Punctures and dynamical systems
journal, August 2018

The geometry of SUSY enhancement
text, January 2020

The geometry of SUSY enhancement
journal, February 2020

Quiver tails and N = 1 $$ \mathcal{N}=1 $$ SCFTs from M5-branes
journal, March 2015

Spectral curves of $\mathcal{N}=1$ theories of class $\mathcal{S}_k$
text, January 2017

The Geometry of SUSY Enhancement
text, January 2019

AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
text, January 2015

Spectral curves of $\mathcal{N}=1$ theories of class $\mathcal{S}_k$
preprint, January 2015

Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence
text, January 2019