Very extended E-8 and A(8) at low levels, gravity and supergravity

By P. West. 2002

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We define a level for a large class of Lorentzian Kac–Moody algebras. Using this we find the representation content of very extended AD−3 and E8 (i.e., E11) at low levels in terms of AD−1 and A10 representations, respectively. The results are consistent with the conjectured very extended A8 and E11 symmetries of gravity and maximal supergravity theories given respectively in preprints hep-th/0104081 and hep-th/0107209. We explain how these results provided further evidence for these conjectures.

Subfields: Algebra and Number Theory, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/80f3f155e080dc265486d04115797f0c9f2f0d3c