Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges

Argyres, Philip; Lotito, Matteo; Lü, Yongchao; Martone, Mario

doi:10.1007/jhep02(2018)003

Title: Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges

Abstract

This is the third in a series of three papers on the systematic analysis of rank 1 four dimensional N = 2 SCFTs. In the first two papers [1, 2] we developed and carried out a strategy for classifying and constructing physical planar rank-1 Coulomb branch geometries of N = 2 SCFTs. Presently, we describe general features of the Higgs and mixed branch geometries of the moduli space of these SCFTs, and use this, along with their Coulomb branch geometry, to compute their conformal and flavor central charges. We conclude with a summary of the state of the art for rank-1 N = 2 SCFTs.

Authors:

Argyres, Philip ^[1]; Lotito, Matteo ^[1]; Lü, Yongchao ^[1]; Martone, Mario ^[1]

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

Publication Date:: 2018-02-01

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

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

OSTI Identifier:: 1499175

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: 2018; 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; Conformal and W Symmetry; Conformal Field Theory; Extended Supersymmetry; Supersymmetric Gauge Theory

Citation Formats


                    Argyres, Philip, Lotito, Matteo, Lü, Yongchao, and Martone, Mario. Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges.  United States: N. p., 2018. 
Web.  doi:10.1007/jhep02(2018)003.

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                    Argyres, Philip, Lotito, Matteo, Lü, Yongchao, & Martone, Mario. Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges.  United States.  https://doi.org/10.1007/jhep02(2018)003

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                    Argyres, Philip, Lotito, Matteo, Lü, Yongchao, and Martone, Mario. Thu .  
"Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges".  United States.  https://doi.org/10.1007/jhep02(2018)003.  https://www.osti.gov/servlets/purl/1499175.

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@article{osti_1499175,

  title        = {Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges},

  author       = {Argyres, Philip and Lotito, Matteo and Lü, Yongchao and Martone, Mario},

  abstractNote = {This is the third in a series of three papers on the systematic analysis of rank 1 four dimensional N = 2 SCFTs. In the first two papers [1, 2] we developed and carried out a strategy for classifying and constructing physical planar rank-1 Coulomb branch geometries of N = 2 SCFTs. Presently, we describe general features of the Higgs and mixed branch geometries of the moduli space of these SCFTs, and use this, along with their Coulomb branch geometry, to compute their conformal and flavor central charges. We conclude with a summary of the state of the art for rank-1 N = 2 SCFTs.},

  doi          = {10.1007/jhep02(2018)003},

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

  number       = 2,

  volume       = 2018,

  place        = {United States},

  year         = {2018},

  month        = {2}

}

Copy to clipboard

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https://doi.org/10.1007/jhep02(2018)003

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Cited by: 16 works

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Figures / Tables:

Table 1: Partial list of rank-1 N = 2 SCFTs. They are divided into 5 series; the CFTs within each series are connected by RG flows from top to bottom. The red rows give the characteristic IR-free theory each series flows to. Yellow rows are lagrangian CFTs, while blue andmore »

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Works referencing / citing this record:

Geometric constraints on the space of N $$ \mathcal{N} $$ = 2 SCFTs. Part II: construction of special Kähler geometries and RG flows
journal, February 2018

Argyres, Philip C.; Lotito, Matteo; Lü, Yongchao
Journal of High Energy Physics, Vol. 2018, Issue 2
DOI: 10.1007/jhep02(2018)002

Universal correlation functions in rank 1 SCFTs
journal, December 2019

Hellerman, Simeon; Maeda, Shunsuke; Orlando, Domenico
Journal of High Energy Physics, Vol. 2019, Issue 12
DOI: 10.1007/jhep12(2019)047

Figures / Tables found in this record:

Table 1 (p. 4)

Figure 1 (p. 7)

Figure 2 (p. 11)

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

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Title: Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges

Abstract

Citation Formats

Figures / Tables:

N = 2 dualities journal, August 2012

The N = 2 $$ \mathcal{N}=2 $$ superconformal bootstrap journal, March 2016

Superconformal fixed points with En global symmetry journal, March 1997

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

Topological quantum field theory journal, September 1988

Integration over the $u$-plane in Donaldson theory journal, January 1997

4d N $$ \mathcal{N} $$ =2 theories with disconnected gauge groups journal, March 2017

The constraints of conformal symmetry on RG flows journal, July 2012

Central charges and RG flow of strongly-coupled $ \mathcal{N}=2 $ theory journal, March 2013

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

Argyres-Seiberg Duality and the Higgs Branch journal, December 2009

An SU(2) anomaly journal, November 1982

Integrating over the Coulomb branch in N = 2 gauge theory journal, November 1998

On 4d rank-one N = 3 $$ \mathcal{N}=3 $$ superconformal field theories journal, September 2016

Expanding the landscape of N $$ \mathcal{N} $$ = 2 rank 1 SCFTs journal, May 2016

Global symmetries and $$\mathcal{N}=2$$ N = 2 SUSY journal, March 2017

Classification of 4d $ \mathcal{N} $ =2 gauge theories journal, December 2013

Conformal collider physics: energy and charge correlations journal, May 2008

N = 2 moduli spaces and N = 1 dualities for SO(nc) and USp(2nc) super-QCD journal, January 1997

A holographic computation of the central charges of d = 4, 𝒩 = 2 SCFTs journal, January 2008

Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory journal, September 1994

Superconformal hypermultiplets journal, March 2000

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

Topological gauge theories and group cohomology journal, April 1990

-Algebras with two and three generators journal, August 1991

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

Infinite Chiral Symmetry in Four Dimensions journal, January 2015

N = 3 $$ \mathcal{N}=3 $$ four dimensional field theories journal, March 2016

S-folds and 4d N $$ \mathcal{N} $$ = 3 superconformal field theories journal, June 2016

Higgs Branch, Hyper-Kähler Quotient and Duality in SUSY N = 2 Yang–Mills Theories journal, October 1997

OnS-duality in Abelian gauge theory journal, September 1995

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

New phenomena in SU(3) supersymmetric gauge theory journal, August 1995

The Donaldson-Witten Function for Gauge Groups of Rank Larger Than One journal, December 1998

Central charges of 𝒩 = 2 superconformal field theories in four dimensions journal, September 2008

On the Large R-charge Expansion in N = 2 $$ \mathcal{N}=2 $$ Superconformal Field Theories journal, December 2017

A proof of the conformal collider bounds journal, June 2016

All Possible Symmetries of the S Matrix journal, July 1967

On renormalization group flows in four dimensions journal, December 2011

On short and semi-short representations for four-dimensional superconformal symmetry journal, September 2003

New = 2 superconformal field theories in four dimensions journal, February 1996

Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated journal, June 2017

Mass deformations of four-dimensional, rank 1, N=2 superconformal field theories journal, December 2013

Chiral algebras of class S $$ \mathcal{S} $$ journal, May 2015

Cones, tri-Sasakian structures and superconformal invariance journal, December 1998

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

On the signature of four-manifolds with universal covering spin journal, January 1993

All positive energy unitary irreducible representations of extended conformal supersymmetry journal, November 1985

Geometric constraints on the space of N $$ \mathcal{N} $$ = 2 SCFTs. Part II: construction of special Kähler geometries and RG flows journal, February 2018

Universal correlation functions in rank 1 SCFTs journal, December 2019

N = 2 dualities
journal, August 2012

The N = 2 $$ \mathcal{N}=2 $$ superconformal bootstrap
journal, March 2016

Superconformal fixed points with En global symmetry
journal, March 1997

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

Topological quantum field theory
journal, September 1988

Integration over the $u$-plane in Donaldson theory
journal, January 1997

4d N $$ \mathcal{N} $$ =2 theories with disconnected gauge groups
journal, March 2017

The constraints of conformal symmetry on RG flows
journal, July 2012

Central charges and RG flow of strongly-coupled $ \mathcal{N}=2 $ theory
journal, March 2013

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

Argyres-Seiberg Duality and the Higgs Branch
journal, December 2009

An SU(2) anomaly
journal, November 1982

Integrating over the Coulomb branch in N = 2 gauge theory
journal, November 1998

On 4d rank-one N = 3 $$ \mathcal{N}=3 $$ superconformal field theories
journal, September 2016

Expanding the landscape of N $$ \mathcal{N} $$ = 2 rank 1 SCFTs
journal, May 2016

Global symmetries and $$\mathcal{N}=2$$ N = 2 SUSY
journal, March 2017

Classification of 4d $ \mathcal{N} $ =2 gauge theories
journal, December 2013

Conformal collider physics: energy and charge correlations
journal, May 2008

N = 2 moduli spaces and N = 1 dualities for SO(nc) and USp(2nc) super-QCD
journal, January 1997

A holographic computation of the central charges of d = 4, 𝒩 = 2 SCFTs
journal, January 2008

Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
journal, September 1994

Superconformal hypermultiplets
journal, March 2000

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

Topological gauge theories and group cohomology
journal, April 1990

-Algebras with two and three generators
journal, August 1991

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

Infinite Chiral Symmetry in Four Dimensions
journal, January 2015

N = 3 $$ \mathcal{N}=3 $$ four dimensional field theories
journal, March 2016

S-folds and 4d N $$ \mathcal{N} $$ = 3 superconformal field theories
journal, June 2016

Higgs Branch, Hyper-Kähler Quotient and Duality in SUSY N = 2 Yang–Mills Theories
journal, October 1997

OnS-duality in Abelian gauge theory
journal, September 1995

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

New phenomena in SU(3) supersymmetric gauge theory
journal, August 1995

The Donaldson-Witten Function for Gauge Groups of Rank Larger Than One
journal, December 1998

Central charges of 𝒩 = 2 superconformal field theories in four dimensions
journal, September 2008

On the Large R-charge Expansion in N = 2 $$ \mathcal{N}=2 $$ Superconformal Field Theories
journal, December 2017

A proof of the conformal collider bounds
journal, June 2016

All Possible Symmetries of the $S$ Matrix
journal, July 1967

On renormalization group flows in four dimensions
journal, December 2011

On short and semi-short representations for four-dimensional superconformal symmetry
journal, September 2003

New = 2 superconformal field theories in four dimensions
journal, February 1996

Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
journal, June 2017

Mass deformations of four-dimensional, rank 1, N=2 superconformal field theories
journal, December 2013

Chiral algebras of class S $$ \mathcal{S} $$
journal, May 2015

Cones, tri-Sasakian structures and superconformal invariance
journal, December 1998

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

On the signature of four-manifolds with universal covering spin
journal, January 1993

All positive energy unitary irreducible representations of extended conformal supersymmetry
journal, November 1985

Geometric constraints on the space of N $$ \mathcal{N} $$ = 2 SCFTs. Part II: construction of special Kähler geometries and RG flows
journal, February 2018

Universal correlation functions in rank 1 SCFTs
journal, December 2019