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The Minimal Unitary Representation of E_8(8)

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arxiv hep-th/0109005 v2 pith:4T7DIZ3W submitted 2001-09-02 hep-th

M. Gunaydin , K. Koepsell , H. Nicolai This is my paper · ORCID
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keywords minimalrepresentationunitaryapplicationscomplexconstructioncovarianceexceptional
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We give a new construction of the minimal unitary representation of the exceptional group E_8(8) on a Hilbert space of complex functions in 29 variables. Due to their manifest covariance with respect to the E_7(7) subgroup of E_8(8) our formulas are simpler than previous realizations, and thus well suited for applications in superstring and M theory.

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  1. Exceptionality, Supersymmetry and Non-associativity in Physics

    hep-th 2025-07 conditional novelty 2.0 of 10

    A survey connecting the exceptional Jordan algebra, magical supergravities, and non-associative magnetic and R-flux algebras in string and M-theory.

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