Expanding the landscape of $ \mathcal{N} $ = 2 rank 1 SCFTs

Argyres, Philip C.; Lotito, Matteo; Lu, Yongchao; Martone, Mario

doi:10.1007/JHEP05(2016)088

Title: Expanding the landscape of $$ \mathcal{N} $$ = 2 rank 1 SCFTs

Abstract

Here, we refine our previous proposal [1-3] for systematically classifying 4d rank-1 N = 2 SCFTs by constructing their possible Coulomb branch geometries. Four new recently discussed rank-1 theories [4, 5], including novel N = 3 SCFTs, sit beautifully in our refined classification framework. By arguing for the consistency of their RG flows we can make a strong case for the existence of at least four additional rank-1 SCFTs, nearly doubling the number of known rank-1 SCFTs. The refinement consists of relaxing the assumption that the flavor symmetries of the SCFTs have no discrete factors. This results in an enlarged (but finite) set of possible rank-1 SCFTs. Their existence can be further constrained using consistency of their central charges and RG flows.

Authors:

Argyres, Philip C. ^[1]; Lotito, Matteo ^[1]; Lu, Yongchao ^[1]; Martone, Mario ^[1]

Univ. of Cincinnati, Cincinnati, OH (United States)

Publication Date:: Mon May 16 00:00:00 EDT 2016

Research Org.:: Univ. of Cincinnati, Cincinnati, OH (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1326964

Grant/Contract Number:: SC0011784

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: 5; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; extended supersymmetry; nonperturbative effects; supersymmetric gauge theory

Citation Formats


                    Argyres, Philip C., Lotito, Matteo, Lu, Yongchao, and Martone, Mario. Expanding the landscape of $ \mathcal{N} $ = 2 rank 1 SCFTs.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP05(2016)088.

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                    Argyres, Philip C., Lotito, Matteo, Lu, Yongchao, & Martone, Mario. Expanding the landscape of $ \mathcal{N} $ = 2 rank 1 SCFTs.  United States.  https://doi.org/10.1007/JHEP05(2016)088

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                    Argyres, Philip C., Lotito, Matteo, Lu, Yongchao, and Martone, Mario. Mon .  
"Expanding the landscape of $ \mathcal{N} $ = 2 rank 1 SCFTs".  United States.  https://doi.org/10.1007/JHEP05(2016)088.  https://www.osti.gov/servlets/purl/1326964.

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@article{osti_1326964,

  title        = {Expanding the landscape of $ \mathcal{N} $ = 2 rank 1 SCFTs},

  author       = {Argyres, Philip C. and Lotito, Matteo and Lu, Yongchao and Martone, Mario},

  abstractNote = {Here, we refine our previous proposal [1-3] for systematically classifying 4d rank-1 N = 2 SCFTs by constructing their possible Coulomb branch geometries. Four new recently discussed rank-1 theories [4, 5], including novel N = 3 SCFTs, sit beautifully in our refined classification framework. By arguing for the consistency of their RG flows we can make a strong case for the existence of at least four additional rank-1 SCFTs, nearly doubling the number of known rank-1 SCFTs. The refinement consists of relaxing the assumption that the flavor symmetries of the SCFTs have no discrete factors. This results in an enlarged (but finite) set of possible rank-1 SCFTs. Their existence can be further constrained using consistency of their central charges and RG flows.},

  doi          = {10.1007/JHEP05(2016)088},

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

  number       = 5,

  volume       = 2016,

  place        = {United States},

  year         = {Mon May 16 00:00:00 EDT 2016},

  month        = {Mon May 16 00:00:00 EDT 2016}

}

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Title: Expanding the landscape of $$ \mathcal{N} $$ = 2 rank 1 SCFTs

Abstract

Citation Formats

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

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Stress-tensor OPE in N = 2 $$ \mathcal{N}=2 $$ superconformal theories journal, February 2016

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N = 2 $$ \mathcal{N}=2 $$ central charge bounds from 2d chiral algebras journal, April 2016

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Tinkertoys for the Twisted D-Series preprint, January 2013

Infinite Chiral Symmetry in Four Dimensions text, January 2013

Tinkertoys for the $E_6$ Theory preprint, January 2014

Schur Indices, BPS Particles, and Argyres-Douglas Theories text, January 2015

New N=2 Superconformal Field Theories in Four Dimensions text, January 1995

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Flavor symmetries and the topology of special Kähler structures at rank 1 journal, February 2019

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Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory text, January 2017

Long multiplet bootstrap text, January 2017

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Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory text, January 2017

N = 3 $$ \mathcal{N}=3 $$ four dimensional field theories
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Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
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New = 2 superconformal field theories in four dimensions
journal, February 1996

An N = 2 superconformal fixed point with E6 global symmetry
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Superconformal fixed points with En global symmetry
journal, March 1997

S-duality in N = 2 supersymmetric gauge theories
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Infinite coupling duals of N = 2 gauge theories and new rank 1 superconformal field theories
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Central charges of 𝒩 = 2 superconformal field theories in four dimensions
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On four dimensional N = 3 superconformal theories
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Infinite Chiral Symmetry in Four Dimensions
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Quantum Higgs branches of isolated $\mathcal{N}=2$ superconformal field theories
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Bootstrapping N = 2 $$ \mathcal{N}=2 $$ chiral correlators
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N = 2 $$ \mathcal{N}=2 $$ central charge bounds from 2d chiral algebras
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Tinkertoys for Gaiotto duality
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Tinkertoys for the D N series
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Gaiotto duality for the twisted A 2N −1 series
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Tinkertoys for the E 6 theory
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Geometric engineering, mirror symmetry and 6 d 1 0 → 4 d N = 2 $$ 6{\mathrm{d}}_{\left(1,0\right)}\to 4{\mathrm{d}}_{\left(\mathcal{N}=2\right)} $$
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Infinitely many $ \mathcal{N} $ = 2 SCFT with ADE flavor symmetry
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More on the $ \mathcal{N}=2 $ superconformal systems of type D p (G)
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New N=2 Superconformal Field Theories in Four Dimensions
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text, January 2017

Long multiplet bootstrap
text, January 2017

Tinkertoys for the E7 Theory
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