Solutions of the Generic Non-Compact Weyl Equation
Anastasia Doikou, Theodora Ioannidou
TL;DR
This paper derives solutions for the generic non-compact Weyl equation, utilizing similarity transformations and variable changes to incorporate azimuthal dependence, and discusses open problems in infinite BPS monopole configurations.
Contribution
It introduces a method to solve the non-compact Weyl equation with azimuthal dependence and explores open questions in monopole theory.
Findings
Solutions for the non-compact Weyl equation obtained
Azimuthal dependence successfully implemented
Open questions in BPS monopole configurations discussed
Abstract
In this paper, solutions of the generic non-compact Weyl equation are obtained. In particular, by identifying a suitable similarity transformation and introducing a non-trivial change of variables we are able to implement azimuthal dependence on the solutions of the diagonal non-compact Weyl equation. We also discuss some open questions related to the construction of infinite BPS monopole configurations.
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