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

Phillial Oh; Q. Han Park

doi:10.1016/S0370-2693(97)00314-6

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

Phillial Oh, Q. Han Park

Research output: Contribution to journal › Article › peer-review

10 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 language	English
Pages (from-to)	157-162
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	400
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(97)00314-6
Publication status	Published - 1997 May 8
Externally published	Yes

Bibliographical note

Funding Information:
PO. would like to thank Yoonbai Kim for useful discussions.T his work is supportedb y the program of Basic Science Research,M inistry of Education BSRI-96-1419/BSRI-96-2442, and by Korea Science and Engineering Foundation through the Center for Theoretical Physics, SNU and through the project number 96-0702-04-01-3.

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0370-2693(97)00314-6

Cite this

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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.",

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AU - Oh, Phillial

AU - Park, Q. Han

N1 - Funding Information: PO. would like to thank Yoonbai Kim for useful discussions.T his work is supportedb y the program of Basic Science Research,M inistry of Education BSRI-96-1419/BSRI-96-2442, and by Korea Science and Engineering Foundation through the Center for Theoretical Physics, SNU and through the project number 96-0702-04-01-3.

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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.

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IS - 1-2

ER -

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

Abstract

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