Composite non-Abelian strings with Grassmannian models on the worldsheet

Ireson, Edwin; Shifman, Mikhail; Yung, Alexei

doi:10.1103/PhysRevResearch.1.023002

Title: Composite non-Abelian strings with Grassmannian models on the worldsheet

Abstract

Most of the non-Abelian string vortices studied so far are characterized by two-dimensional CP(N) models with various degrees of supersymmetry on their worldsheet. We generalize this construction to “composite” non-Abelian strings supporting the Grassmann G(L,M) models (here L + M = N). The generalization is straightforward and provides, among other results, a simple and transparent way for counting the number of vacua in N = (2,2) Grassmannian model.

Authors:

; Shifman, Mikhail; Yung, Alexei

Publication Date:: 2019-09-04

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1560308

Alternate Identifier(s):: OSTI ID: 1837575

Grant/Contract Number:: SC0011842

Resource Type:: Published Article

Journal Name:: Physical Review Research (Online)

Additional Journal Information:: Journal Name: Physical Review Research (Online) Journal Volume: 1 Journal Issue: 2; Journal ID: ISSN 2643-1564

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Non-Abelian gauge theories; Nonlinear sigma model; Solitons; Supersymmetric field theories; Vortices in field theory

Citation Formats


                    Ireson, Edwin, Shifman, Mikhail, and Yung, Alexei. Composite non-Abelian strings with Grassmannian models on the worldsheet.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevResearch.1.023002.

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                    Ireson, Edwin, Shifman, Mikhail, & Yung, Alexei. Composite non-Abelian strings with Grassmannian models on the worldsheet.  United States.  https://doi.org/10.1103/PhysRevResearch.1.023002

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                    Ireson, Edwin, Shifman, Mikhail, and Yung, Alexei. Wed .  
"Composite non-Abelian strings with Grassmannian models on the worldsheet".  United States.  https://doi.org/10.1103/PhysRevResearch.1.023002.

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@article{osti_1560308,

  title        = {Composite non-Abelian strings with Grassmannian models on the worldsheet},

  author       = {Ireson, Edwin and Shifman, Mikhail and Yung, Alexei},

  abstractNote = {Most of the non-Abelian string vortices studied so far are characterized by two-dimensional CP(N) models with various degrees of supersymmetry on their worldsheet. We generalize this construction to “composite” non-Abelian strings supporting the Grassmann G(L,M) models (here L + M = N). The generalization is straightforward and provides, among other results, a simple and transparent way for counting the number of vacua in N = (2,2) Grassmannian model.},

  doi          = {10.1103/PhysRevResearch.1.023002},

  journal      = {Physical Review Research (Online)},

  number       = 2,

  volume       = 1,

  place        = {United States},

  year         = {2019},

  month        = {9}

}

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Similar Records

Title: Composite non-Abelian strings with Grassmannian models on the worldsheet

Abstract

Citation Formats

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

Solitons in the Higgs phase: the moduli matrix approach journal, June 2006

Grassmannian σ-models and topological-anti-topological fusion journal, April 1995

Polytopes and solitons in integrable, N = 2 supersymmetric Landau-Ginzburg theories journal, July 1991

Vortices, instantons and branes journal, July 2003

Vortex Strings and Four-Dimensional Gauge Dynamics journal, April 2004

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

Quantum vortex strings: A review journal, January 2009

Non-Abelian vortices of higher winding numbers journal, September 2006

Non-Abelian vortex dynamics: effective world-sheet action journal, August 2010

Composite non-Abelian flux tubes in N = 2 SQCD journal, May 2006

Supersymmetric index in four-dimensional gauge theories journal, January 2001

Reconnection of non-abelian cosmic strings journal, September 2005

Supersymmetric Vacua and Bethe Ansatz journal, July 2009

Vortex-line models for dual strings journal, September 1973

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

Topological—anti-topological fusion journal, December 1991

Supersymmetric solitons journal, October 2007

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

Effective theory on non-Abelian vortices in six dimensions journal, November 2004

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

Solitons in the Higgs phase: the moduli matrix approach
journal, June 2006

Grassmannian σ-models and topological-anti-topological fusion
journal, April 1995

Polytopes and solitons in integrable, N = 2 supersymmetric Landau-Ginzburg theories
journal, July 1991

Vortices, instantons and branes
journal, July 2003

Vortex Strings and Four-Dimensional Gauge Dynamics
journal, April 2004

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

Quantum vortex strings: A review
journal, January 2009

Non-Abelian vortices of higher winding numbers
journal, September 2006

Non-Abelian vortex dynamics: effective world-sheet action
journal, August 2010

Composite non-Abelian flux tubes in $N = 2$ SQCD
journal, May 2006

Supersymmetric index in four-dimensional gauge theories
journal, January 2001

Reconnection of non-abelian cosmic strings
journal, September 2005

Supersymmetric Vacua and Bethe Ansatz
journal, July 2009

Vortex-line models for dual strings
journal, September 1973

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

Topological—anti-topological fusion
journal, December 1991

Supersymmetric solitons
journal, October 2007

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

Effective theory on non-Abelian vortices in six dimensions
journal, November 2004