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.

中文翻译：

---

极化流体中的别拉文-波利亚科夫孤子和拓扑环

Belavin-Polyakov 孤子和极化环的拓扑环，即二维的两个分量相干场已经在共形约束下进行了研究。阐明了相互作用的作用。在本研究的框架内计算了耦合非线性方程的孤子解。对于假自旋尊重的不同起始点，发现了均相和非均相相。Belavin-Polyakov 孤子的偏振度从 +1 变为 -1 赝自旋，并返回到拓扑环的相同初始赝自旋值 +1。