TY - JOUR

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

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.

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

U2 - 10.1016/S0370-2693(97)00314-6

DO - 10.1016/S0370-2693(97)00314-6

M3 - Article

AN - SCOPUS:0039978689

SN - 0370-2693

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

IS - 1-2

ER -