## 26 Citations

Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries

- Mathematics
- 2008

We consider all theories with eight supersymmetries whose reduction to three dimensions gives rise to scalars that parametrise symmetric manifolds. We conjecture that these theories are non-linear…

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…

Almost split real forms for hyperbolic Kac-Moody Lie algebras

- Mathematics
- 2006

A Borel–Tits theory was developed for almost split forms of symmetrizable Kac–Moody Lie algebras. In this paper, we look to almost split real forms and their restricted root systems for symmetrizable…

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…

Duality and Lorentzian Kac-Moody Algebras

- Mathematics
- 2002

A review is given of ideas in electromagnetic duality and connections to integrable field theories with soliton solutions. This leads on to a summary of recent work on Lorentzian algebras.

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…