Intersection rules, dynamics and symmetries

Abstract

We consider theories containing gravity, at most one dilaton and form field strengths. We show that the existence of particular BPS solutions of intersecting extremal closed branes select the theories, which upon dimensional reduction to three dimensions possess a simple simply laced Lie group symmetry G. Furthermore these theories can be fully reconstructed from the dynamics of such branes and of their openings. Amongst such theories are the effective actions of the bosonic sector of M-theory and of the bosonic string. The BPS intersecting brane solutions form representations of a subgroup of the group of Weyl reflections and outer automorphisms of the triple Kac-Moody extension G+++ of the G algebra, which cannot be embedded in the overextended Kac-Moody subalgebra G++ characterising the cosmological Kasner solutions.

Latex 30 pages, 3 figures

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Cited by in corpus (17)

• Very-extended Kac-Moody algebras and their interpretation at low levels
• The IIA, IIB and eleven dimensional theories and their common E_{11} origin
• G+++ Invariant Formulation of Gravity and M-Theories: Exact BPS Solutions
• Representations of G+++ and the role of space-time
• E_{11} origin of Brane charges and U-duality multiplets
• E10 and SO(9,9) invariant supergravity
• G+++ Invariant Formulation of Gravity and M-Theories: Exact Intersecting Brane Solutions
• M-theory and E10: Billiards, Branes, and Imaginary Roots
• Hidden Symmetries and Dirac Fermions
• Kac-Moody Symmetries of Ten-dimensional Non-maximal Supergravity Theories
• E10 Cosmology
• G+++ and Brane Solutions
• Perturbation Theory From Automorphic Forms
• Cosmological billiards and oxidation
• Constraints on Automorphic Forms of Higher Derivative Terms from Compactification
• Duality Symmetries and G^{+++} Theories
• E11 and Spheric Vacuum Solutions of Eleven- and Ten dimensional Supergravity Theories