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.
|Number of pages||6|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - 1997 May 8|
Bibliographical noteFunding 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