We analyse the very-extended Kac-Moody algebras as representations in terms of certain Ad subalgebras and find the generators at low levels. Our results for low levels agree precisely with the… (More)

We consider the decomposition of the adjoint and fundamental representations of very extended Kac-Moody algebras G +++ with respect to their regular A type subalgebra which, in the corresponding… (More)

We study possible restrictions on the structure of curvature corrections to gravitational theories in the context of their corresponding Kac– Moody algebras, following the initial work on E10 in… (More)

We construct simple exact solutions to the E 10 /K(E 10) coset model by exploiting its integrability. Using the known correspondences with the bosonic sectors of maximal supergravity theories , these… (More)

We study the Weyl groups of hyperbolic Kac–Moody algebras of ‘over-extended’ type and ranks 3, 4, 6 and 10, which are intimately linked with the four normed division algebras K = R, C, H, O,… (More)

We study the hidden symmetries of the fermionic sector of D = 11 supergravity, and the role of K(E10) as a generalised ‘R symmetry’. We find a consistent model of a massless spinning particle on an… (More)

We study the indefinite Kac–Moody algebras AEn, arising in the reduction of Einstein’s theory from (n + 1) space-time dimensions to one (time) dimension, and their distinguished maximal regular… (More)

We construct an infinite E9 multiplet of BPS states for 11D supergravity. For each positive real root of E9 we obtain a BPS solution of 11D supergravity, or of its exotic counterparts, depending on… (More)

The hypermultiplet moduli space in Type IIA string theory compactified on a rigid Calabi-Yau threefold, corresponding to the “universal hypermultiplet”, is described at tree-level by the symmetric… (More)

We analyse the geodesic E 10 /K(E 10) σ-model in a level decomposition w.r.t. the A 8 × A 1 subalgebra of E 10 , adapted to the bosonic sector of type IIB supergravity, whose SL(2, R) symmetry is… (More)