The symmetries of the Manton superconductivity model
M. Hassa\"ine, P. A. Horv\'athy
TL;DR
This paper investigates the symmetries and conserved quantities of Manton's modified superconductivity model, linking it to the Quantum Hall Effect within a Kaluza-Klein framework.
Contribution
It identifies the symmetries and conserved quantities of the model using a Kaluza-Klein type approach, providing new insights into its mathematical structure.
Findings
Symmetries and conserved quantities are explicitly derived.
The model's relation to the Quantum Hall Effect is clarified.
A Kaluza-Klein framework is employed to analyze the model.
Abstract
The symmetries and conserved quantities of Manton's modified superconductivity model with non-relativistic Maxwell-Chern-Simons dynamics (also related to the Quantized Hall Effect) are obtained in the ``Kaluza-Klein type'' framework of Duval et al.
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