Abelian Higgs vortices and discrete conformal maps

作者:Bobenko Alexander I; Sridhar Ananth
来源:Letters in Mathematical Physics, 2018, 108(2): 249-260.
DOI:10.1007/s11005-017-1004-5

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.

  • 出版日期2018-2

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