期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 48, 期 24, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/48/24/245403
关键词
vortex; hyperbolic; Bolza; Schwarz triangle; Blaschke product; Taubes equation
资金
- UK Science and Technology Facilities Council [ST/J000434/1]
- STFC [ST/L000385/1, ST/J000434/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/J000434/1, ST/L000385/1] Funding Source: researchfish
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.
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