Existence of hyperbolic calorons

Lesley Sibner; Robert Sibner; Yisong Yang

doi:10.1098/rspa.2014.0970

Existence of hyperbolic calorons

Lesley Sibner, Robert Sibner, Yisong Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Recent work of Harland shows that the SO(3)- symmetric, dimensionally reduced, charge-N selfdual 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 theWitten type equations.

Original language	English (US)
Article number	20140970
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	471
Issue number	2176
DOIs	https://doi.org/10.1098/rspa.2014.0970
State	Published - Apr 8 2015

Keywords

Finite temperature
Instantons
Nonlinear equations
Topological invariants

ASJC Scopus subject areas

General Mathematics
General Engineering
General Physics and Astronomy

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10.1098/rspa.2014.0970

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AU - Sibner, Robert

AU - Yang, Yisong

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AB - Recent work of Harland shows that the SO(3)- symmetric, dimensionally reduced, charge-N selfdual 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 theWitten type equations.

KW - Finite temperature

KW - Instantons

KW - Nonlinear equations

KW - Topological invariants

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Existence of hyperbolic calorons

Abstract

Keywords

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