Very-extended Kac-Moody algebras and their interpretation at low levels

Details Very-extended Kac-Moody algebras and their interpretation at low levels Very-extended Kac-Moody algebras and their interpretation at low levels

2003-09-19

arxiv.org/abs/hep-th/0309198v1

Class.Quant.Grav.21:2493-2525,2004

Physics

High Energy Physics

High Energy Physics - Theory

1+41 pages, 10 figures, LaTeX2e

Scientific paper

10.1088/0264-9381/21/9/021

We analyse the very-extended Kac-Moody algebras as representations in terms of certain A_d subalgebras and find the generators at low levels. Our results for low levels agree precisely with the bosonic field content of the theories containing gravity, forms and scalars which upon reduction to three dimensions can be described by a non-linear realisation. We explain how the Dynkin diagrams of the very-extended algebras encode information about the field content and generalised T-duality transformations.

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