Classical solutions of the chiral model, unitons, and holomorphic vector bundles
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This paper deals with classical solutions of theSU(2) chiral model on ℝ2, and of a generalized chiral model on ℝ2+1. Such solutions are shown to correspond to certain holomorphic vector bundles over minitwistor space. With an appropriate boundary condition, the solutions (called 1-unitons in ) correspond to bundles over a compact 2-dimensional complex manifold, and the problem becomes one of algebraic geometry.
KeywordsBoundary Condition Neural Network Manifold Statistical Physic Complex System
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