Remarks on the Novikov-Shifman-Vainshtein-Zakahrov β functions in two-dimensional N = ( 0 , 2 ) supersymmetric models

Chen, Jin; Shifman, Mikhail

doi:10.1103/PhysRevD.99.065007

Title: Remarks on the Novikov-Shifman-Vainshtein-Zakahrov $β$ functions in two-dimensional $N = (0, 2)$ supersymmetric models

Abstract

The Novikov-Shifman-Vainshtein-Zakahrov β functions in two-dimensional N = (0,2) supersymmetric models are revisited. We construct and discuss a broad class of such models using the gauge formulation. All of them represent direct analogs of four-dimensional N = 1 Yang-Mills theories and are free of anomalies. Following the same line of reasoning as in four dimensions we distinguish between the holomorphic and canonical coupling constants. This allows us to derive the exact two-dimensional β functions in all models from the above class. We then compare our results with a few examples that have been studied previously.

Authors:: Chen, Jin; Shifman, Mikhail

Publication Date:: Mon Mar 18 00:00:00 EDT 2019

Research Org.:: Univ. of Minnesota, Minneapolis, MN (United States)

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

OSTI Identifier:: 1501711

Alternate Identifier(s):: OSTI ID: 1611688

Grant/Contract Number:: SC0011842

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 6; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Gauge theories; Lower-dimensional field theories; Quantum field theory; Supersymmetric field theories

Citation Formats


                    Chen, Jin, and Shifman, Mikhail. Remarks on the Novikov-Shifman-Vainshtein-Zakahrov β functions in two-dimensional N = ( 0 , 2 ) supersymmetric models.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.065007.

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                    Chen, Jin, & Shifman, Mikhail. Remarks on the Novikov-Shifman-Vainshtein-Zakahrov β functions in two-dimensional N = ( 0 , 2 ) supersymmetric models.  United States.  https://doi.org/10.1103/PhysRevD.99.065007

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                    Chen, Jin, and Shifman, Mikhail. Mon .  
"Remarks on the Novikov-Shifman-Vainshtein-Zakahrov β functions in two-dimensional N = ( 0 , 2 ) supersymmetric models".  United States.  https://doi.org/10.1103/PhysRevD.99.065007.

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@article{osti_1501711,

  title        = {Remarks on the Novikov-Shifman-Vainshtein-Zakahrov β functions in two-dimensional N = ( 0 , 2 ) supersymmetric models},

  author       = {Chen, Jin and Shifman, Mikhail},

  abstractNote = {The Novikov-Shifman-Vainshtein-Zakahrov β functions in two-dimensional N = (0,2) supersymmetric models are revisited. We construct and discuss a broad class of such models using the gauge formulation. All of them represent direct analogs of four-dimensional N = 1 Yang-Mills theories and are free of anomalies. Following the same line of reasoning as in four dimensions we distinguish between the holomorphic and canonical coupling constants. This allows us to derive the exact two-dimensional β functions in all models from the above class. We then compare our results with a few examples that have been studied previously.},

  doi          = {10.1103/PhysRevD.99.065007},

  journal      = {Physical Review D},

  number       = 6,

  volume       = 99,

  place        = {United States},

  year         = {Mon Mar 18 00:00:00 EDT 2019},

  month        = {Mon Mar 18 00:00:00 EDT 2019}

}

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Title: Remarks on the Novikov-Shifman-Vainshtein-Zakahrov β functions in two-dimensional N = ( 0 , 2 ) supersymmetric models

Abstract

Citation Formats

Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields journal, October 1975

Phases of N = 2 theories in two dimensions journal, August 1993

Non-Abelian string junctions as confined monopoles journal, August 2004

The quantum dynamics of heterotic vortex strings journal, September 2007

The BPS spectra of gauge theories in two and four dimensions journal, May 1999

Vortices, instantons and branes journal, July 2003

Exact Results in Gauge Theories: Putting Supersymmetry to work journal, December 1999

Quantum vortex strings: A review journal, January 2009

Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus journal, December 1983

Erratum: Large- N solution of the heterotic N = ( 0 , 2 ) two-dimensional C P ( N − 1 ) model [Phys. Rev. D 77 , 125017 (2008)] journal, April 2010

N = ( 0 , 2 ) supersymmetry and a nonrenormalization theorem journal, November 2011

Heterotic vortex strings journal, May 2007

On exact correlation functions of chiral ring operators in 2d N = 2 , 2 $$ \mathcal{N}=\left(2,\ 2\right) $$ SCFTs via localization journal, March 2018

Ultraviolet Behavior of Non-Abelian Gauge Theories journal, June 1973

Supersymmetric instanton calculus journal, October 1985

Supersymmetric tools in Yang–Mills theories at strong coupling: The beginning of a long journey journal, April 2018

On isometry anomalies in minimal 𝒩 = (0,1) and 𝒩 = (0,2) sigma models journal, September 2016

Reliable Perturbative Results for Strong Interactions? journal, June 1973

Erratum: Heterotic flux tubes in N = 2 supersymmetric QCD with N = 1 preserving deformations [Phys. Rev. D 77 , 125016 (2008)] journal, February 2009

Supersymmetric solitons journal, October 2007

N = ( 0 , 2 ) deformation of the C P ( 1 ) model: Two-dimensional analog of N = 1 Yang-Mills theory in four dimensions journal, February 2012

Anomalous supersymmetry transformation of some composite operators in SQCD journal, February 1984

Large- N solution of the heterotic N = ( 0 , 2 ) two-dimensional C P ( N − 1 ) model journal, June 2008

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

Heterotic flux tubes in N = 2 supersymmetric QCD with N = 1 preserving deformations journal, June 2008

Perturbative aspects of heterotically deformed C P ( N − 1 ) sigma model journal, November 2010

The beta function in supersymmetric gauge theories. Instantons versus traditional approach journal, January 1986

Solution of the anomaly puzzle in SUSY gauge theories and the Wilson operator expansion journal, January 1986

Non-Abelian duality and confinement: From N = 2 to N = 1 supersymmetric QCD journal, May 2011

Holomorphy, rescaling anomalies and exact β functions in supersymmetric gauge theories journal, May 2000

N = ( 0 , 2 ) deformation of (2, 2) sigma models: Geometric structure, holomorphic anomaly, and exact β functions journal, August 2014

Nonabelian superconductors: vortices and confinement in SQCD journal, November 2003

Anomalies of minimal ${ \mathcal N }=(0,1)$ and ${ \mathcal N }=(0,2)$ sigma models on homogeneous spaces journal, December 2016

Liouville Correlation Functions from Four-Dimensional Gauge Theories journal, January 2010

(0, 2) trialities journal, March 2014

Non-Abelian vortex in four dimensions as a critical string on a conifold journal, September 2016

Correlation functions of Coulomb branch operators journal, January 2017

Title: Remarks on the Novikov-Shifman-Vainshtein-Zakahrov $β$ functions in two-dimensional $N = (0, 2)$ supersymmetric models

Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields
journal, October 1975

Phases of N = 2 theories in two dimensions
journal, August 1993

Non-Abelian string junctions as confined monopoles
journal, August 2004

The quantum dynamics of heterotic vortex strings
journal, September 2007

The BPS spectra of gauge theories in two and four dimensions
journal, May 1999

Vortices, instantons and branes
journal, July 2003

Exact Results in Gauge Theories: Putting Supersymmetry to work
journal, December 1999

Quantum vortex strings: A review
journal, January 2009

Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus
journal, December 1983

Erratum: Large- $N$ solution of the heterotic $N = (0, 2)$ two-dimensional $C P (N - 1)$ model [Phys. Rev. D 77 , 125017 (2008)]
journal, April 2010

$N = (0, 2)$ supersymmetry and a nonrenormalization theorem
journal, November 2011

Heterotic vortex strings
journal, May 2007

On exact correlation functions of chiral ring operators in 2d N = 2 , 2 $$ \mathcal{N}=\left(2,\ 2\right) $$ SCFTs via localization
journal, March 2018

Ultraviolet Behavior of Non-Abelian Gauge Theories
journal, June 1973

Supersymmetric instanton calculus
journal, October 1985

Supersymmetric tools in Yang–Mills theories at strong coupling: The beginning of a long journey
journal, April 2018

On isometry anomalies in minimal 𝒩 = (0,1) and 𝒩 = (0,2) sigma models
journal, September 2016

Reliable Perturbative Results for Strong Interactions?
journal, June 1973

Erratum: Heterotic flux tubes in $N = 2$ supersymmetric QCD with $N = 1$ preserving deformations [Phys. Rev. D 77 , 125016 (2008)]
journal, February 2009

Supersymmetric solitons
journal, October 2007

$N = (0, 2)$ deformation of the $C P (1)$ model: Two-dimensional analog of $N = 1$ Yang-Mills theory in four dimensions
journal, February 2012

Anomalous supersymmetry transformation of some composite operators in SQCD
journal, February 1984

Large- $N$ solution of the heterotic $N = (0, 2)$ two-dimensional $C P (N - 1)$ model
journal, June 2008

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

Heterotic flux tubes in $N = 2$ supersymmetric QCD with $N = 1$ preserving deformations
journal, June 2008

Perturbative aspects of heterotically deformed $C P (N - 1)$ sigma model
journal, November 2010

The beta function in supersymmetric gauge theories. Instantons versus traditional approach
journal, January 1986

Solution of the anomaly puzzle in SUSY gauge theories and the Wilson operator expansion
journal, January 1986

Non-Abelian duality and confinement: From $N = 2$ to $N = 1$ supersymmetric QCD
journal, May 2011

Holomorphy, rescaling anomalies and exact β functions in supersymmetric gauge theories
journal, May 2000

$N = (0, 2)$ deformation of (2, 2) sigma models: Geometric structure, holomorphic anomaly, and exact $β$ functions
journal, August 2014

Nonabelian superconductors: vortices and confinement in SQCD
journal, November 2003

Anomalies of minimal ${ \mathcal N }=(0,1)$ and ${ \mathcal N }=(0,2)$ sigma models on homogeneous spaces
journal, December 2016

Liouville Correlation Functions from Four-Dimensional Gauge Theories
journal, January 2010

(0, 2) trialities
journal, March 2014

Non-Abelian vortex in four dimensions as a critical string on a conifold
journal, September 2016

Correlation functions of Coulomb branch operators
journal, January 2017