Infinitely many $ \mathcal{N}=1 $ dualities from m + 1 - m = 1

doi:https://doi.org/10.1007/JHEP10(2015)035

Title: Infinitely many $$ \mathcal{N}=1 $$ dualities from m + 1 - m = 1

Abstract

We discuss two infinite classes of 4d supersymmetric theories, T _N ^(m) and U$$(m)\atop{N}$$, labelled by an arbitrary non-negative integer, m. The T _N ^(m) theory arises from the 6d, A _N-1 type N=(2,0) theory reduced on a 3-punctured sphere, with normal bundle given by line bundles of degree (m + 1, -m); the m = 0 case is the N=2 supersymmetric T _N theory. The novelty is the negative-degree line bundle. The U$$(m)\atop{N}$$ theories likewise arise from the 6d N=(2,0) theory on a 4-punctured sphere, and can be regarded as gluing together two (partially Higgsed) T _N ^(m) theories. The T _N ^(m) and U$$(m)\atop{N}$$ theories can be represented, in various duality frames, as quiver gauge theories, built from T _N components via gauging and nilpotent Higgsing. We analyze the RG flow of the U($$(m)\atop{N}$$ theories, and find that, for all integer m > 0, they end up at the same IR SCFT as SU(N) SQCD with 2N flavors and quartic superpotential. The U$$(m)\atop{N}$$ theories can thus be regarded as an infinite set of UV completions, dual to SQCD with N _f = 2N _c. The U$$(m)\atop{N}$$ duals have different duality frame quiver representations, with 2m + 1 gaugemore » nodes.« less

Authors:

Agarwal, Prarit ^[1]; Intriligator, Kenneth ^[1]; Song, Jaewon ^[1]

University of California, San Diego, La Jolla, CA (United States). Department of Physics

Publication Date:: 2015-10-06

Research Org.:: University of California, San Diego, La Jolla, CA (United States). Department of Physics

Sponsoring Org.:: USDOE

OSTI Identifier:: 1434593

Grant/Contract Number:: SC0009919

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Volume: 2015; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Super symmetric gauge theory; Brane Dynamics in Gauge Theories; Duality in Gauge Field Theories; Renormalization Group

Citation Formats


                    Agarwal, Prarit, Intriligator, Kenneth, and Song, Jaewon. Infinitely many $ \mathcal{N}=1 $ dualities from m + 1 - m = 1.  United States: N. p., 2015. 
        Web.  doi:10.1007/JHEP10(2015)035.

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                    Agarwal, Prarit, Intriligator, Kenneth, & Song, Jaewon. Infinitely many $ \mathcal{N}=1 $ dualities from m + 1 - m = 1.  United States.  https://doi.org/10.1007/JHEP10(2015)035

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                    Agarwal, Prarit, Intriligator, Kenneth, and Song, Jaewon. Tue .  
        "Infinitely many $ \mathcal{N}=1 $ dualities from m + 1 - m = 1".  United States.  https://doi.org/10.1007/JHEP10(2015)035.  https://www.osti.gov/servlets/purl/1434593.

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@article{osti_1434593,

  title        = {Infinitely many $ \mathcal{N}=1 $ dualities from m + 1 - m = 1},

  author       = {Agarwal, Prarit and Intriligator, Kenneth and Song, Jaewon},

  abstractNote = {We discuss two infinite classes of 4d supersymmetric theories, TN(m) and U$(m)\atop{N}$, labelled by an arbitrary non-negative integer, m. The TN(m) theory arises from the 6d, AN-1 type N=(2,0) theory reduced on a 3-punctured sphere, with normal bundle given by line bundles of degree (m + 1, -m); the m = 0 case is the N=2 supersymmetric TN theory. The novelty is the negative-degree line bundle. The U$(m)\atop{N}$ theories likewise arise from the 6d N=(2,0) theory on a 4-punctured sphere, and can be regarded as gluing together two (partially Higgsed) TN(m) theories. The TN(m) and U$(m)\atop{N}$ theories can be represented, in various duality frames, as quiver gauge theories, built from TN components via gauging and nilpotent Higgsing. We analyze the RG flow of the U($(m)\atop{N}$ theories, and find that, for all integer m > 0, they end up at the same IR SCFT as SU(N) SQCD with 2N flavors and quartic superpotential. The U$(m)\atop{N}$ theories can thus be regarded as an infinite set of UV completions, dual to SQCD with Nf = 2N c. The U$(m)\atop{N}$ duals have different duality frame quiver representations, with 2m + 1 gauge nodes.},

  doi          = {10.1007/JHEP10(2015)035},

  url          = {https://www.osti.gov/biblio/1434593},
  journal      = {Journal of High Energy Physics (Online)},

  issn         = {1029-8479},

  number       = 10,

  volume       = 2015,

  place        = {United States},

  year         = {2015},

  month        = {10}

}

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Title: Infinitely many $$ \mathcal{N}=1 $$ dualities from m + 1 - m = 1

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Exact superpotentials, quantum vacua and duality in supersymmetric SP(Nc) gauge theories journal, July 1995

$ \mathcal{N} $ =1 geometries via M-theory journal, October 2013

New N = 1 dualities from M5-branes and outer-automorphism twists journal, March 2014

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

Quarter-BPS AdS 5 solutions in M-theory with a T 2 bundle over a Riemann surface journal, August 2013

Bootstrapping the superconformal index with surface defects journal, January 2013

Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT journal, February 2016

N = 1 $$ \mathcal{N}=1 $$ deformations and RG flows of N = 2 $$ \mathcal{N}=2 $$ SCFTs journal, February 2017

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

N $$ \mathcal{N} $$ =1 Lagrangians for generalized Argyres-Douglas theories journal, October 2017

N $$ \mathcal{N} $$ =1 Deformations and RG flows of N $$ \mathcal{N} $$ =2 SCFTs, part II: non-principal deformations journal, December 2016

N = 1 superconformal theories with D N blocks journal, April 2017

Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index journal, April 2017

N = 2 dualities
journal, August 2012

Tinkertoys for the twisted D-series
journal, April 2015

N = 1 $$ \mathcal{N}=1 $$ theories of class S k $$ {\mathcal{S}}_k $$
journal, July 2015

2d TQFT structure of the superconformal indices with outer-automorphism twists
journal, March 2013

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

Linear quivers and N $$ \mathcal{N} $$ = 1 SCFTs from M5-branes
journal, August 2014

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

New Seiberg dualities from 𝒩 = 2 dualities
journal, September 2009

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

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

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

An Index for 4 Dimensional Super Conformal Theories
journal, June 2007

Theories of class S $$ \mathcal{S} $$ and new N $$ \mathcal{N} $$ = 1 SCFTs
journal, June 2015

The moduli space of vacua of N = 2 SUSY QCD and duality in N = 1 SUSY QCD
journal, July 1996

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

Gauge Theories and Macdonald Polynomials
journal, November 2012

M5 brane and four dimensional $ \mathcal{N} $ = 1 theories I
journal, April 2014

Tinkertoys for the E 6 theory
journal, September 2015

Gaiotto duality for the twisted A 2N −1 series
journal, May 2015

Exactly marginal deformations and global symmetries
journal, June 2010

Four dimensional superconformal theories from M5 branes
journal, January 2015

The exact superconformal R-symmetry maximizes a
journal, September 2003

Punctures from probe M5-branes and N $$ \mathcal{N} $$ = 1 superconformal field theories
journal, July 2014

Applications of the superconformal index for protected operators and q-hypergeometric identities to dual theories
journal, September 2009

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

Tinkertoys for Gaiotto duality
journal, November 2010

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

An E 7 surprise
journal, October 2012

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

Lectures on supersymmetric gauge theories and electric-magnetic duality
journal, February 1996

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

Non-perturbative formulas for central functions of supersymmetric gauge theories
journal, August 1998

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

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

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

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

Counting chiral primaries in , superconformal field theories
journal, July 2006

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

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

Exact superpotentials, quantum vacua and duality in supersymmetric SP(Nc) gauge theories
journal, July 1995

$ \mathcal{N} $ =1 geometries via M-theory
journal, October 2013

New N = 1 dualities from M5-branes and outer-automorphism twists
journal, March 2014

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

Quarter-BPS AdS 5 solutions in M-theory with a T 2 bundle over a Riemann surface
journal, August 2013

Bootstrapping the superconformal index with surface defects
journal, January 2013

Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
journal, February 2016

N = 1 $$ \mathcal{N}=1 $$ deformations and RG flows of N = 2 $$ \mathcal{N}=2 $$ SCFTs
journal, February 2017

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

N $$ \mathcal{N} $$ =1 Lagrangians for generalized Argyres-Douglas theories
journal, October 2017

N $$ \mathcal{N} $$ =1 Deformations and RG flows of N $$ \mathcal{N} $$ =2 SCFTs, part II: non-principal deformations
journal, December 2016

$N = 1$ superconformal theories with $D_{N}$ blocks
journal, April 2017

Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index
journal, April 2017