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Very Extended $E_8$ and $A_8$ at low levels, Gravity and Supergravity

P. West
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Abstract

We define a level for a large class of Lorentzian Kac-Moody algebras. Using this we find the representation content of very extended $A_{D-3}$ and $E_8$ (i.e. $E_{11}$) at low levels in terms of $A_{D-1}$ and $A_{10}$ representations respectively. The results are consistent with the conjectured very extended $A_8$ and $E_{11}$ symmetries of gravity and maximal supergravity theories given respectively in hep-th/0104081 and hep-th/0107209. We explain how these results provided further evidence for these conjectures.

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P. West. 2003-01-29. Very Extended $E_8$ and $A_8$ at low levels, Gravity and Supergravity. https://doi.org/10.1088/0264-9381%2F20%2F11%2F328

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