The minimal unitary representation of E8(8)

M. Günaydin; K. Koepsell; H. Nicolai

doi:10.4310/atmp.2001.v5.n5.a3

The minimal unitary representation of E₈₍₈₎

M. Günaydin, K. Koepsell, H. Nicolai

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36 Scopus citations

Abstract

We give a new construction of the minimal unitary representation of the exceptional group E₈₍₈₎ on a Hilbert space of complex functions in 29 variables. Due to their manifest covariance with respect to the E₇₍₇₎ subgroup of E₈₍₈₎ our formulas are simpler than previous realizations, and thus well suited for applications in superstring and M theory.

Original language	English (US)
Pages (from-to)	1-24
Number of pages	24
Journal	Advances in Theoretical and Mathematical Physics
Volume	5
Issue number	5
DOIs	https://doi.org/10.4310/atmp.2001.v5.n5.a3
State	Published - Sep 2001

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

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10.4310/atmp.2001.v5.n5.a3

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abstract = "We give a new construction of the minimal unitary representation of the exceptional group E8(8) on a Hilbert space of complex functions in 29 variables. Due to their manifest covariance with respect to the E7(7) subgroup of E8(8) our formulas are simpler than previous realizations, and thus well suited for applications in superstring and M theory.",

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AB - We give a new construction of the minimal unitary representation of the exceptional group E8(8) on a Hilbert space of complex functions in 29 variables. Due to their manifest covariance with respect to the E7(7) subgroup of E8(8) our formulas are simpler than previous realizations, and thus well suited for applications in superstring and M theory.

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The minimal unitary representation of E₈₍₈₎

Abstract

All Science Journal Classification (ASJC) codes

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