Existence of hyperbolic calorons

Lesley Sibner, Robert Sibner, Yisong Yang

Research output: Contribution to journalArticle

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 languageEnglish (US)
Article number20140970
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume471
Issue number2176
DOIs
StatePublished - Apr 8 2015

Keywords

  • Finite temperature
  • Instantons
  • Nonlinear equations
  • Topological invariants

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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