2D topological solitons in the gauged easy-axis Heisenberg antiferromagnet model

Field equations of the 3-component U(1) gauged sigma model (“the A3M model”) with spontaneously broken Z(2) symmetry are presented for (D + 1)-dimensional space-time. Localized solutions of the two-dimensional A3M model with the unit topological charge are found numerically; these topological solitons describe (at least for small values of a parameter p, p < p0) stable bound states of the unit 3-component “easy-axis” Heisenberg field and the Maxwell field. Possible physical implications of 2D and 3D topological solitons of the A3M model are discussed.