# Existence of hyperbolic calorons

@article{Sibner2015ExistenceOH,
title={Existence of hyperbolic calorons},
author={Lesley M. Sibner and Robert J. Sibner and Yisong Yang},
journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
year={2015},
volume={471}
}
• Published 4 March 2015
• Mathematics
• Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Recent work of Harland shows that the SO(3)-symmetric, dimensionally reduced, charge-N self-dual Yang–Mills calorons on the hyperbolic space H3×S1 may be obtained through constructing N-vortex solutions of an Abelian Higgs model as in the study of Witten on multiple instantons. In this paper, we establish the existence of such minimal action charge-N calorons by constructing arbitrarily prescribed N-vortex solutions of the Witten type equations.

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