A Class of Five-Dimensional Multi-Charged Tchrakian Monopoles
Hironobu Kihara
TL;DR
This paper introduces a new class of multi-charged monopoles in five dimensions derived from gauge transformations of Hedge-Hog monopoles, with charges classified by a specific homotopy group.
Contribution
It presents a novel construction of multi-charged Tchrakian monopoles in five dimensions using singular gauge transformations, expanding the understanding of monopole charge classifications.
Findings
Classifies monopole charges via the fourth homotopy group of SU(4)/U(1)xSU(2)xSU(2)
Constructs a new family of multi-charged monopoles in five dimensions
Provides a framework for analyzing monopole charge topologies
Abstract
By considering singular gauge transformations of the five-dimensional Hedge-Hog monopole, we obtain a class of multi-charged Tchrakian monopoles. The charge is classified by the fourth homotopy group of SU(4)/U(1)xSU(2)xSU(2).
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Taxonomy
TopicsAntenna Design and Analysis · Ultra-Wideband Communications Technology · Radio Wave Propagation Studies