紧致双曲曲面上的解析涡解
Analytic vortex solutions on compact hyperbolic surfaces
摘要：
我们构造，为第一次，阿贝尔-希格斯涡在某些紧凑的常负曲率的表面。这样的表面由正多边形的双曲平面的镶嵌来表示。希格斯场是隐式的施瓦茨三角函数和解析解，可用于某些高度对称的配置。
英文摘要：
We construct, for the first time, Abelian-Higgs vortices on certain compact surfaces of constant negative curvature. Such surfaces are represented by a tessellation of the hyperbolic plane by regular polygons. The Higgs field is given implicitly in terms of Schwarz triangle functions and analytic solutions are available for certain highly symmetric configurations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
