Did a 1-dimensional magnet detect a 248-dimensional Lie algebra?

David Borthwick; Skip Garibaldi

Did a 1-dimensional magnet detect a 248-dimensional Lie algebra?

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arxiv 1012.5407 v3 pith:JUHXCHCY submitted 2010-12-24 math-ph cond-mat.stat-mechmath.MP

David Borthwick , Skip Garibaldi This is my paper · ORCID

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About a year ago, a team of physicists reported in Science that they had observed "evidence for E8 symmetry" in the laboratory. This expository article is aimed at mathematicians and explains the chain of reasoning connecting measurements on a quasi-1-dimensional magnet with a 248-dimensional Lie algebra.

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Exceptional Periodicity and Magic Star Algebras. I : Foundations
math.RT 2019-09 conditional novelty 5.0 of 10

The paper rigorously defines 'Magic Star algebras', periodic finite dimensional generalizations of e6, e7, and e8, which are Lie algebras only at the base level n=1.

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