Abstract
Belavin-Polyakov solitons and topological loops for a polaritonic, i.e. two component coherent field in two dimensions have been studied under conformality constraint. The role of interactions is elucidated. Solitonic solutions of coupled non-linear equations have been calculated in frame of this study. Homogeneous and inhomogeneous phases are found for pseudospin respected different onsets. Polarization degree changes from +1 to -1 pseudospin for Belavin-Polyakov soliton and returns to the same initial pseudospin value +1 for the topological loop.
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