Very extended Kac Moody algebras and their interpretation at low levels

By Axel Kleinschmidt, Igor Schnakenburg, P. West. 2003

148 citations recorded by the source corpus.

We analyse the very extended Kac–Moody algebras as representations in terms of certain Ad−1 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 nonlinear realization. We explain how the Dynkin diagrams of the very extended algebras encode information about the field content and generalized T-duality transformations.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/85447890622ee0701ef1ad89da1499aae7beec54

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Citations in the corpus

E(11) and the Embedding Tensor (2007, background): “One piece of evidence for this was provided by the proof [4, 5] that the top-forms 1 consistent with ten-dimensional IIA and IIB supergravity are precisely the ones predicted by E 11 [3, 6].”
The E-11 origin of all maximal supergravities (2007, methodology): “The massive IIA theory of Romans can be accounted for by introducing a nine-form [28, 29], whose field-strength is dual to Romans’ cosmological constant, and in [30, 27] it was shown that the E11 non-linear realisation in a 10-dimensional IIA background with non-vanishing 10-form field strength repr”