Abstract

I.L.Bogolubsky and A.A.Bogolubskaya,
JINR, Dubna, Russia

D-dimensional solitons in anisoptropic Heisenberg antiferromagnet model and U(1) gauged extension. Soliton analog of Abrikosov-Nielsen-Olesen strings-vortices.

ABSTRACT- Easy-axis classical Heisenberg antiferromagnet is described by 3-component Lorentz-invariant sigma model with spontaneously broken Z(2) symmetry. For this model and its U(1) gauged counterpart soliton solutions are investigated in (D+1) space-time dimensions (D=1,2,3). Stable extended strings-vortices are found for D=2 which can be treated as soliton analogs of Abrikosov-Nielsen-Olesen strings in abelian Higgs model.