\(E_{11}\) and M theory. (English) Zbl 0992.83079

West, P.

Classical Quantum Gravity 18, No. 21, 4443-4460 (2001).

11-dimensional supergravity is described by the group \(E_{11}\). It leads to a duality between two fields representing gravitational degrees of freedom. This paper also contains a review of Kac-Moody algebras.

Reviewer: Hans-Jürgen Schmidt (Potsdam)

MSC:

83E50	Supergravity
17B81	Applications of Lie (super)algebras to physics, etc.
81R10	Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
81T30	String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E30	String and superstring theories in gravitational theory

Keywords:

11-dimensional supergravity; gravitational degrees of freedom; Kac-Moody algebras