Abelian Higgs vortices and discrete conformal maps

DOI10.1007/s11005-017-1004-5zbMath1395.30047arXiv1703.04735OpenAlexW3101720705MaRDI QIDQ1696025

Ananth Sridhar, Alexander Ivanovich Bobenko

Publication date: 14 February 2018

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04735

zbMATH Keywords

conformal geometrydiscrete differential geometryvortex equationsdiscrete conformal maps

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Applications of global differential geometry to the sciences (53C80) More general nonquantum field theories in mechanics of particles and systems (70S20) Circle packings and discrete conformal geometry (52C26) Discrete analytic functions (30G25)

Uses Software

• VaryLab

Cites Work

• Vortices as degenerate metrics
• Discrete conformal maps and ideal hyperbolic polyhedra
• Vortices in holomorphic line bundles over closed Kähler manifolds
• Discrete Conformal Maps: Boundary Value Problems, Circle Domains, Fuchsian and Schottky Uniformization
• Five vortex equations
• Study of Bogomol'nyi vortices on a disk
• COMBINATORIAL YAMABE FLOW ON SURFACES

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