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

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

2002-12-23

arxiv.org/abs/hep-th/0212291v2

Class.Quant.Grav.20:2393-2406,2003

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, plain tex (equation 3.3 modified and one reference expanded)

Scientific paper

10.1088/0264-9381/20/11/328

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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