Dualities and signatures of G++ invariant theories

Abstract

The G++ content of the formulation of gravity and M-theories as very-extended Kac-Moody invariant theories is further analysed. The different exotic phases of all the G_B++ theories, which admit exact solutions describing intersecting branes smeared in all directions but one, are derived. This is achieved by analysing for all G++ the signatures which are related to the conventional one (1,D-1) by `dualities' generated by the Weyl reflections.

26 pages, 3 figures

References in corpus (3)

• Higher order M theory corrections and the Kac-Moody algebra E10
• From very-extended to overextended gravity and M-theories
• Eleven dimensional supergravity and the E10/KE10 sigma-model at low A9 levels

Cited by in corpus (9)

• M-theory and Type IIB from a Duality Manifest Action
• An E9 multiplet of BPS states
• Non-abelian U-duality at work
• Poincare Duality and G+++ algebra's
• "Flip" of SL(2,R)-duality in five-dimensional supergravity
• Kac-Moody Algebras in M-theory
• Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4
• M-Theory Solutions in Multiple Signatures from E_11
• Gravitational theories coupled to matter as invariant theories under Kac-Moody algebras