TY - JOUR

T1 - Topological and nontopological self-dual Chern-Simons solitons in a gauged O(3) [Formula presented] model

AU - Arthur, K.

AU - Tchrakian, D. H.

AU - Yang, Yisong

PY - 1996

Y1 - 1996

N2 - We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) [Formula presented] model on [Formula presented] with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the magnetic flux is irrelevant to the stability of the topological solitons, which are stabilized by the degree [Formula presented], but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that topological and nontopological solitons of arbitrary vorticity [Formula presented] exist. We have studied both types of vortices with [Formula presented] and [Formula presented], and the nontopological soliton with [Formula presented] numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are contrasted with those of the gauged C[Formula presented] solitons.

AB - We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) [Formula presented] model on [Formula presented] with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the magnetic flux is irrelevant to the stability of the topological solitons, which are stabilized by the degree [Formula presented], but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that topological and nontopological solitons of arbitrary vorticity [Formula presented] exist. We have studied both types of vortices with [Formula presented] and [Formula presented], and the nontopological soliton with [Formula presented] numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are contrasted with those of the gauged C[Formula presented] solitons.

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U2 - 10.1103/PhysRevD.54.5245

DO - 10.1103/PhysRevD.54.5245

M3 - Article

AN - SCOPUS:0000346841

VL - 54

SP - 5245

EP - 5258

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 8

ER -