Existence of static BPS monopoles and dyons in arbitrary (4p - 1)-dimensional spaces

Xiuqin Wang, Yisong Yang

Research output: Contribution to journalArticle

Abstract

We prove the existence and uniqueness of a static and radially symmetric BPS monopole of unit topological charge in an arbitrary (4p - 1)-dimensional space descended from the generalized Yang-Mills theory in 4p dimensions and formulated and presented in a recent study of Radu and Tchrakian. This monopole solution also gives rise to an electrically and magnetically charged soliton, called dyon, in the same spacetime setting through the well-known Julia-Zee correspondence. Our method is based on a dynamical shooting approach depending on two shooting parameters which provides an effective framework for constructing the BPS monopole and dyon solutions in general dimensions.

Original languageEnglish (US)
Pages (from-to)249-263
Number of pages15
JournalLetters in Mathematical Physics
Volume77
Issue number3
DOIs
StatePublished - Sep 2006

Keywords

  • Dons
  • Dynamical shooting method
  • Instantons
  • Monopoles
  • Radially symmetric solutions
  • Self-dual equations
  • Topological charge
  • Yang-Mills theory

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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