Self-dual Chern-Simons solitons and generalized Heisenberg ferromagnet models

Phillial Oh, Q Han Park

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We consider the (2+1)-dimensional gauged Heisenberg ferromagnet model coupled with the Chern-Simons gauge fields. Self-dual Chern-Simons solitons, the static zero energy solution saturating Bogomol'nyi bounds, are shown to exist when the generalized spin variable is valued in the Hermitian symmetric spaces G/H. By gauging the maximal torus subgroup of H, we obtain self-dual solitons which satisfy vortex-type nonlinear equations thereby extending the two dimensional instantons in a nontrivial way. An explicit example for the CP(N) case is given.

Original languageEnglish
Pages (from-to)157-162
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume400
Issue number1-2
Publication statusPublished - 1997 May 8
Externally publishedYes

Fingerprint

solitary waves
subgroups
instantons
nonlinear equations
vortices
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Self-dual Chern-Simons solitons and generalized Heisenberg ferromagnet models. / Oh, Phillial; Park, Q Han.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 400, No. 1-2, 08.05.1997, p. 157-162.

Research output: Contribution to journalArticle

@article{1f018b68f5d3416491311bf90324a483,
title = "Self-dual Chern-Simons solitons and generalized Heisenberg ferromagnet models",
abstract = "We consider the (2+1)-dimensional gauged Heisenberg ferromagnet model coupled with the Chern-Simons gauge fields. Self-dual Chern-Simons solitons, the static zero energy solution saturating Bogomol'nyi bounds, are shown to exist when the generalized spin variable is valued in the Hermitian symmetric spaces G/H. By gauging the maximal torus subgroup of H, we obtain self-dual solitons which satisfy vortex-type nonlinear equations thereby extending the two dimensional instantons in a nontrivial way. An explicit example for the CP(N) case is given.",
author = "Phillial Oh and Park, {Q Han}",
year = "1997",
month = "5",
day = "8",
language = "English",
volume = "400",
pages = "157--162",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",
number = "1-2",

}

TY - JOUR

T1 - Self-dual Chern-Simons solitons and generalized Heisenberg ferromagnet models

AU - Oh, Phillial

AU - Park, Q Han

PY - 1997/5/8

Y1 - 1997/5/8

N2 - We consider the (2+1)-dimensional gauged Heisenberg ferromagnet model coupled with the Chern-Simons gauge fields. Self-dual Chern-Simons solitons, the static zero energy solution saturating Bogomol'nyi bounds, are shown to exist when the generalized spin variable is valued in the Hermitian symmetric spaces G/H. By gauging the maximal torus subgroup of H, we obtain self-dual solitons which satisfy vortex-type nonlinear equations thereby extending the two dimensional instantons in a nontrivial way. An explicit example for the CP(N) case is given.

AB - We consider the (2+1)-dimensional gauged Heisenberg ferromagnet model coupled with the Chern-Simons gauge fields. Self-dual Chern-Simons solitons, the static zero energy solution saturating Bogomol'nyi bounds, are shown to exist when the generalized spin variable is valued in the Hermitian symmetric spaces G/H. By gauging the maximal torus subgroup of H, we obtain self-dual solitons which satisfy vortex-type nonlinear equations thereby extending the two dimensional instantons in a nontrivial way. An explicit example for the CP(N) case is given.

UR - http://www.scopus.com/inward/record.url?scp=0039978689&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039978689&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0039978689

VL - 400

SP - 157

EP - 162

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -