92 Citations
Very extended Kac–Moody algebras and their interpretation at low levels
- Mathematics
- 2004
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…
Very extended Kac Moody algebras and their interpretation at low levels
- Mathematics
- 2004
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…
Kac-Moody algebras in perturbative string theory
- Mathematics, Physics
- 2002
The conjecture that M-theory has the rank eleven Kac-Moody symmetry e11 implies that type-IIA and type-IIB string theories in ten dimensions possess certain infinite dimensional perturbative symmetry…
Lectures on Kac-Moody Algebras with Applications in ( Super-) Gravity
- Mathematics
- 2008
These lectures are divided into two main parts. In the first part we give an introduction to the theory of Kac-Moody algebras directed towards physicists. In particular, we describe the subclasses of…
Kac-Moody symmetries of ten-dimensional non-maximal supergravity theories
- Mathematics, Physics
- 2004
A description of the bosonic sector of ten-dimensional N = 1 supergravity as a non-linear realisation is given. We show that if a suitable extension of this theory were invariant under a Kac-Moody…
Higher spin gauge fields and extended Kac – Moody symmetries
- Mathematics
- 2011
We consider the relation between higher spin gauge fields and real KacMoody Lie algebras. These algebras are obtained by double and triple extensions of real forms g0 of the finite-dimensional simple…
Kac-Moody algebras in M-theory
- Mathematics
- 2006
In this thesis, we consider several aspects of over-extended and very-extended Kac-Moody algebras in relation with theories of gravity coupled to matter. In the first part, we focus on the occurrence…
On the structure of Kac–Moody algebras
- MathematicsCanadian Journal of Mathematics
- 2020
Abstract Let A be a symmetrisable generalised Cartan matrix, and let
$\mathfrak {g}(A)$
be the corresponding Kac–Moody algebra. In this paper, we address the following fundamental question on the…
Connections between Kac-Moody algebras and M-theory
- Mathematics
- 2007
We investigate some of the motivations and consequences of the conjecture that the Kac-Moody algebra E11 is the symmetry algebra of M-theory, and we develop methods to aid the further investigation…
An overview of generalised Kac-Moody algebras on compact real manifolds
- MathematicsJournal of Geometry and Physics
- 2022