Some Properties of Pole Solution in Six Dimensions
Shoichi Ichinose
TL;DR
This paper analyzes a six-dimensional pole solution model, combining analytical and numerical methods, revealing a finite curvature soliton induced by a bulk Higgs mechanism, with exact solutions provided for specific cases.
Contribution
It introduces a detailed analysis of pole solutions in six dimensions, including boundary conditions and an exact solution for the no potential case, advancing understanding of higher-dimensional models.
Findings
Finite Riemann curvature everywhere
Boundary conditions systematically solved up to 6th order
Exact solution for no potential case
Abstract
A solution with the pole configuration in six dimensions is analysed both analytically and numerically. It is a dimensional reduction model of Randall-Sundrum type. The soliton configuration is induced by the bulk Higgs mechanism. The boundary condition is systematically solved up to the 6th order. The Riemann curvature is finite everywhere. An exact solution for the no potential case is also presented.
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