122 citations · 296 across the 12 of their papers we have counts for
5 papers · 1 filter
The Minimal Unitary Representation of E_8(8)
M. Gunaydin, K. Koepsell, H. Nicolai
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 cova…
Conformal and Quasiconformal Realizations of Exceptional Lie Groups
M. Gunaydin, K. Koepsell, H. Nicolai
We present a nonlinear realization of E_8 on a space of 57 dimensions, which is quasiconformal in the sense that it leaves invariant a suitably defined ``light cone'' in 57 dimensi…
An exceptional geometry for d=11 supergravity?
K. Koepsell, H. Nicolai, H. Samtleben
We analyze the algebraic constraints of the generalized vielbein in SO(1,2) x SO(16) invariant d=11 supergravity, and show that the bosonic degrees of freedom of d=11 supergravity,…
On the Yangian Y(e_8) quantum symmetry of maximal supergravity in two dimensions
K. Koepsell, H. Nicolai, H. Samtleben
We present the algebraic framework for the quantization of the classical bosonic charge algebra of maximally extended (N=16) supergravity in two dimensions, thereby taking the firs…
The Sugawara generators at arbitrary level
R. W. Gebert, K. Koepsell, H. Nicolai
We construct an explicit representation of the Sugawara generators for arbitrary level in terms of the homogeneous Heisenberg subalgebra, which generalizes the well-known expressio…