The Minimal Unitary Representation of E₈(8)
classification
✦ hep-th
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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