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

Marcos Jardim

math-pharXiv:math-ph/0011020

Abstract

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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