title: Existence of hyperbolic calorons.
abstract: Recent work of Harland shows that theSO(3)-symmetric, dimensionally reduced, charge-Nself-dual Yang-Mills calorons on the hyperbolic space [Formula: see text] may be obtained through constructingN-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-Ncalorons by constructing arbitrarily prescribedN-vortex solutions of the Witten type equations.
authors.affiliation: Department of Mathematics , Polytechnic Institute of New York University , Brooklyn, New York, NY 11201, USA.
authors.forename: Lesley
authors.initials: L
authors.lastname: Sibner
authors.affiliation: Department of Mathematics, Brooklyn College , City University of New York , Brooklyn, New York, NY 11210, USA.
authors.forename: Robert
authors.initials: R
authors.lastname: Sibner
authors.affiliation: Institute of Contemporary Mathematics, School of Mathematics and Statistics, Henan University, Kaifeng, Henan 475000, People's Republic of China; NYU-ECNU Institute of Mathematical Sciences, New York University - Shanghai, 3663 North Zhongshan Road, Shanghai 200062, People's Republic of China.
authors.forename: Yisong
authors.initials: Y
authors.lastname: Yang
keywords: finite temperature; instantons; nonlinear equations; topological invariants