Abelian Higgs vortices and discrete conformal maps

被引：0

作者：

Bobenko, Alexander I. ^{[1
]}

Sridhar, Ananth ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, Str 17 June 136, D-10623 Berlin, Germany

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2018年 / 108卷 / 02期

关键词：

Vortex equations; Conformal geometry; Discrete differential geometry;

D O I：

10.1007/s11005-017-1004-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We establish a connection between recent developments in the study of vortices in the abelian Higgs models, and in the theory of structure-preserving discrete conformal maps. We explain how both are related via conformal mapping problems involving prescribed linear combinations of the curvature and volume form, and show how the discrete conformal theory can be used to construct discrete vortex solutions.

引用

页码：249 / 260

页数：12

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