2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56661We 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.Mathematical PhysicsDifferential GeometryFinite action solutions of SO(2,1) Hitchin's equationstext