Mass-deformed TN as a linear quiver

Hayashi, Hirotaka; Tachikawa, Yuji; Yonekura, Kazuya

doi:10.1007/JHEP02(2015)089

Title: Mass-deformed T_N as a linear quiver

Abstract

The $$T_N$$ theory is a non-Lagrangian theory with SU(N) flavor symmetry. We argue that when mass terms are given so that two of SU(N)'s are both broken to SU(N-1) x U(1), it becomes $$T_{N-1}$$ theory coupled to an SU(N-1) vector multiplet together with N fundamentals. This implies that when two of SU(N)'s are both broken to U(1)$$^{N-1}$$, the theory becomes a linear quiver. We perform various checks of this statement, by using the 5d partition function, the structure of the coupling constants, the Higgs branch, and the Seiberg-Witten curve. We also study the case with more general punctures.

Authors:

Hayashi, Hirotaka ^[1]; Tachikawa, Yuji ^[2]; Yonekura, Kazuya ^[3]

Consejo Superior de Investigaciones Cientificas (CSIC), Madrid (Spain). Instituto de Física Teórica UAM
Univ. of Tokyo (Japan). Dept. of Physics
Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences

Publication Date:: Fri Feb 13 00:00:00 EST 2015

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

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

OSTI Identifier:: 1599345

Grant/Contract Number:: SC0009988; PCIG10-GA-2011-304023; FPA2012-32828; ERC-2012-ADG-20120216-320421; SEV-2012-0249; PHY-0969448

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: 2; 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; Topological Strings

Citation Formats


                    Hayashi, Hirotaka, Tachikawa, Yuji, and Yonekura, Kazuya. Mass-deformed TN as a linear quiver.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP02(2015)089.

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                    Hayashi, Hirotaka, Tachikawa, Yuji, & Yonekura, Kazuya. Mass-deformed TN as a linear quiver.  United States.  https://doi.org/10.1007/JHEP02(2015)089

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                    Hayashi, Hirotaka, Tachikawa, Yuji, and Yonekura, Kazuya. Fri .  
"Mass-deformed TN as a linear quiver".  United States.  https://doi.org/10.1007/JHEP02(2015)089.  https://www.osti.gov/servlets/purl/1599345.

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@article{osti_1599345,

  title        = {Mass-deformed TN as a linear quiver},

  author       = {Hayashi, Hirotaka and Tachikawa, Yuji and Yonekura, Kazuya},

  abstractNote = {The $T_N$ theory is a non-Lagrangian theory with SU(N) flavor symmetry. We argue that when mass terms are given so that two of SU(N)'s are both broken to SU(N-1) x U(1), it becomes $T_{N-1}$ theory coupled to an SU(N-1) vector multiplet together with N fundamentals. This implies that when two of SU(N)'s are both broken to U(1)$^{N-1}$, the theory becomes a linear quiver. We perform various checks of this statement, by using the 5d partition function, the structure of the coupling constants, the Higgs branch, and the Seiberg-Witten curve. We also study the case with more general punctures.},

  doi          = {10.1007/JHEP02(2015)089},

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

  number       = 2,

  volume       = 2015,

  place        = {United States},

  year         = {Fri Feb 13 00:00:00 EST 2015},

  month        = {Fri Feb 13 00:00:00 EST 2015}

}

Copy to clipboard

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Works referencing / citing this record:

5d E n Seiberg-Witten curve via toric-like diagram
journal, June 2015

Kim, Sung-Soo; Yagi, Futoshi
Journal of High Energy Physics, Vol. 2015, Issue 6
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Toda 3-point functions from topological strings
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Toda 3-Point Functions From Topological Strings II
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Isachenkov, Mikhail; Mitev, Vladimir; Pomoni, Elli
Deutsches Elektronen-Synchrotron, DESY, Hamburg
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Fiber-Base Duality and Global Symmetry Enhancement
text, January 2015

Mitev, Vladimir; Pomoni, Elli; Taki, Masato
Deutsches Elektronen-Synchrotron, DESY, Hamburg
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Toda 3-Point Functions From Topological Strings
preprint, January 2014

Mitev, Vladimir; Pomoni, Elli
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5d $E_n$ Seiberg-Witten curve via toric-like diagram
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Kim, Sung-Soo; Yagi, Futoshi
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Toda 3-Point Functions From Topological Strings II
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Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories
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Yonekura, Kazuya
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More on 5d descriptions of 6d SCFTs
text, January 2015

Hayashi, Hirotaka; Kim, Sung-Soo; Lee, Kimyeong
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Title: Mass-deformed TN as a linear quiver

Abstract

Citation Formats

N = 2 dualities journal, August 2012

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

New $ \mathcal{N} $ =1 dualities journal, June 2013

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

On the gauge theory/geometry correspondence journal, January 1999

Gauge Theories and Macdonald Polynomials journal, November 2012

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

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

Exceptional indices journal, May 2012

The refined topological vertex journal, October 2009

Surface operator, bubbling Calabi-Yau and AGT relation journal, July 2011

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

${\rm SU}(N)$ geometries and topological string amplitudes journal, January 2006

Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills journal, January 2014

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

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

Instanton counting, Macdonald function and the moduli space of D -branes journal, May 2005

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

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Instanton Counting and Chern-Simons Theory journal, January 2003

Infinite coupling duals of N = 2 gauge theories and new rank 1 superconformal field theories journal, January 2008

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

The Topological Vertex journal, September 2004

Potentials for the supersymmetric nonlinear σ-model journal, March 1983

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

Mirrors of 3d Sicilian theories journal, September 2010

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

Branes and toric geometry journal, January 1998

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

Vortex Counting and Lagrangian 3-Manifolds journal, October 2011

Tinkertoys for Gaiotto duality journal, November 2010

The moduli space of vacua of N = 2 $$ \mathcal{N}=2 $$ class S $$ \mathcal{S} $$ theories journal, October 2014

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

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

The gravity duals of $ \mathcal{N}=2 $ superconformal field theories journal, October 2012

Topological strings and Nekrasov's formulas journal, December 2003

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

Knot Homology and Refined Chern–Simons Index journal, November 2014

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

Refined topological vertex and instanton counting journal, March 2008

5d E n Seiberg-Witten curve via toric-like diagram journal, June 2015

Toda 3-point functions from topological strings text, January 2015

Toda 3-Point Functions From Topological Strings II text, January 2016

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

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

Toda 3-Point Functions From Topological Strings preprint, January 2014

5d $E_n$ Seiberg-Witten curve via toric-like diagram text, January 2014

Toda 3-Point Functions From Topological Strings II text, January 2014

Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories text, January 2015

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

Title: Mass-deformed T_N as a linear quiver

N = 2 dualities
journal, August 2012

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

New $ \mathcal{N} $ =1 dualities
journal, June 2013

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

On the gauge theory/geometry correspondence
journal, January 1999

Gauge Theories and Macdonald Polynomials
journal, November 2012

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

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

Exceptional indices
journal, May 2012

The refined topological vertex
journal, October 2009

Surface operator, bubbling Calabi-Yau and AGT relation
journal, July 2011

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

${\rm SU}(N)$ geometries and topological string amplitudes
journal, January 2006

Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
journal, January 2014

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

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

Instanton counting, Macdonald function and the moduli space of D -branes
journal, May 2005

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

Bootstrapping the superconformal index with surface defects
journal, January 2013

Instanton Counting and Chern-Simons Theory
journal, January 2003

Infinite coupling duals of N = 2 gauge theories and new rank 1 superconformal field theories
journal, January 2008

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

The Topological Vertex
journal, September 2004

Potentials for the supersymmetric nonlinear σ-model
journal, March 1983

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

Mirrors of 3d Sicilian theories
journal, September 2010

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

Branes and toric geometry
journal, January 1998

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

Vortex Counting and Lagrangian 3-Manifolds
journal, October 2011

Tinkertoys for Gaiotto duality
journal, November 2010

The moduli space of vacua of N = 2 $$ \mathcal{N}=2 $$ class S $$ \mathcal{S} $$ theories
journal, October 2014

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

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

The gravity duals of $ \mathcal{N}=2 $ superconformal field theories
journal, October 2012

Topological strings and Nekrasov's formulas
journal, December 2003

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

Knot Homology and Refined Chern–Simons Index
journal, November 2014

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

Refined topological vertex and instanton counting
journal, March 2008

5d E n Seiberg-Witten curve via toric-like diagram
journal, June 2015

Toda 3-point functions from topological strings
text, January 2015

Toda 3-Point Functions From Topological Strings II
text, January 2016

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

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

Toda 3-Point Functions From Topological Strings
preprint, January 2014

5d $E_n$ Seiberg-Witten curve via toric-like diagram
text, January 2014

Toda 3-Point Functions From Topological Strings II
text, January 2014

Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories
text, January 2015

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