An Atavistic Lie Algebra
David B Fairlie, Cosmas K Zachos
TL;DR
This paper introduces an infinite-dimensional Lie algebra that encompasses many commonly used Lie algebras in physics, with potential applications in twisted noncommutative quantum field theory and conformal field theory.
Contribution
It proposes a new infinite-dimensional Lie algebra based on the finite oscillator Lie group, unifying various Lie algebras used in physics.
Findings
Includes subalgebras corresponding to standard Lie algebras in physics
Applicable to twisted noncommutative QFT and CFT
Provides a framework for further mathematical and physical exploration
Abstract
An infinite-dimensional Lie Algebra is proposed which includes, in its subalgebras and limits, most Lie Algebras routinely utilized in physics. It relies on the finite oscillator Lie group, and appears applicable to twisted noncommutative QFT and CFT.
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