$E_{11},K_{11}$ and $EE_{11}$

Details $E_{11},K_{11}$ and $EE_{11}$ $E_{11},K_{11}$ and $EE_{11}$

2004-07-18

arxiv.org/abs/hep-th/0407148v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTex 17 pages

Scientific paper

In the study of conjecture on M-theory as a non-linear realization $E_{11}/K_{11}$ we present arguments for the following: 1)roots of $K_{11}$ coincide with the roots of Kac-Moody algebra $EE_{11}$ with Dynkin diagram given in the paper, 2)one of the fundamental weights of $EE_{11}$ coincides with $l_1$ weight of $E_{11}$, known to contain 11d supergravity brane charges. The statement 1) is extended on $E_{10}$ and $E_9$ algebras.

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