Instanton-like solutions in chiral models. (English) Zbl 1194.35349
Summary: General two-dimensional Euclidean chiral models of field theory are considered in detail. It is shown that in the case when the field takes its values in an arbitrary Kähler manifold the “duality equations” reduce to the Cauchy- Riemann equations on this manifold. For homogeneous manifolds the solutions of these equations do exist and are given by rational functions.
MSC:
| 35Q51 | Soliton equations |
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