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The Foot–Joshi conjecture relating superstring theory to the exceptional Jordan algebra
The exceptional Jordan algebra is the unique exceptional simple Jordan algebra, realized as the algebra of $3\times 3$ Hermitian octonionic matrices. It gives rise to the exception…
Conjectureopenexceptional-structures jordan-algebras string-theoryarXiv posted 2 days ago
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Uniqueness conjecture for the exceptional Albert Jordan algebra
Uniqueness conjecture for exceptional Jordan algebras. Under natural additional assumptions, $H_3({\mathbb O})$ is the only exceptional Jordan algebra.
Conjectureopenexceptional-structures jordan-algebrasarXiv posted 2 days ago

The Foot–Joshi conjecture relating superstring theory to the exceptional Jordan algebra