Gravitational theories coupled to matter as invariant theories under Kac‐Moody algebras
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Publication:3446697
DOI10.1002/PROP.200610366zbMATH Open1119.81411arXivhep-th/0701165OpenAlexW2110460342MaRDI QIDQ3446697
Publication date: 26 June 2007
Published in: Fortschritte der Physik (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/hep-th/0701165
Unified quantum theories (81V22) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Gravitational interaction in quantum theory (81V17)
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