Gravitational theories coupled to matter as invariant theories under Kac-Moody algebras
✍ Scribed by N. Tabti
- Book ID
- 105357616
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 145 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0015-8208
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✦ Synopsis
Abstract
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.