The Minimal Unitary Representation of E_8(8)

Günaydin, Murat; Koepsell, Kilian; Nicolai, Hermann

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The Minimal Unitary Representation of E_8(8)

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Koepsell, Kilian
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Nicolai, Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Günaydin, M., Koepsell, K., & Nicolai, H. (2002). The Minimal Unitary Representation of E_8(8). Advances in Theoretical and Mathematical Physics, 5, 923-946.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5540-5

Abstract

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.