Gravitational theories coupled to matter as invariant theories under Kac-Moody algebras

Details Gravitational theories coupled to matter as invariant theories under Kac-Moody algebras Gravitational theories coupled to matter as invariant theories under Kac-Moody algebras

2007-01-18

arxiv.org/abs/hep-th/0701165v1

Fortsch.Phys.55:821-826,2007

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 1 figure, Contribution to the proceedings of the RTN project 'Constituents, Fundamental Forces and Symmetries of the

Scientific paper

10.1002/prop.200610366

Many recent researches indicate that several gravitational D-dimensional theories suitably coupled to some matter fields (including in particular pure gravity in D dimensions, the low energy effective actions of the bosonic string and the bosonic sector of M-theory) would be characterized by infinite dimensional Kac-Moody algebras G^{++} and G^{+++}. The possible existence of these extended symmetries motivates a development of a new description of gravitational theories based on these symmetries. The importance of Kac-Moody algebras and the link between the G^{+++}-invariant theories and the uncompactified space-time covariant theories are discussed.

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