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arxiv: math-ph/0011020 · v1 · submitted 2000-11-13 · 🧮 math-ph · math.DG· math.MP

Finite action solutions of SO(2,1) Hitchin's equations

classification 🧮 math-ph math.DGmath.MP
keywords solutionsactionbasicequationsfinitehitchinparameterconclude
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We present a 1-parameter family of finite action solutions to the $S0(2,1)$ Hitchin's equations and explore some of its basic properties. For a fixed value of the parameter, the solution is smooth. We conclude by showing a multi-particle generalization of our basic solutions.

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