Duality and Lorentzian Kac-Moody Algebras
David Ian Olive
TL;DR
This paper reviews electromagnetic duality, integrable field theories with solitons, and recent developments in Lorentzian Kac-Moody algebras, highlighting their mathematical structures and physical implications.
Contribution
It synthesizes ideas connecting duality, integrable models, and Lorentzian algebras, providing a comprehensive overview of recent advances.
Findings
Electromagnetic duality relates different field configurations.
Lorentzian Kac-Moody algebras have applications in theoretical physics.
Recent work advances understanding of algebraic structures in field theories.
Abstract
A review is given of ideas in electromagnetic duality and connections to integrable field theories with soliton solutions. This leads on to a summary of recent work on Lorentzian algebras.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Advanced Topics in Algebra