Classical solutions of the chiral model, unitons, and holomorphic vector bundles
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Abstract: (Springer)
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 [9]) correspond to bundles over a compact 2-dimensional complex manifold, and the problem becomes one of algebraic geometry.- field theory: chiral
- symmetry: SU(2)
- field equations: classical
- field equations: solution
- dimension: 2
- dimension: 3
- field equations: soliton
- field equations: monopole
- fibre bundle
- twistor
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