G+++ Invariant Formulation of Gravity and M-Theories: Exact Intersecting Brane Solutions

Abstract

The set of exact solutions of the non-linear realisations of the G+++ Kac-Moody algebras is further analysed. Intersection rules for extremal branes translate into orthogonality conditions on the positive real roots characterising each brane. It is proven that all the intersecting extremal brane solutions of the maximally oxidised theories have their algebraic counterparts as exact solutions in the G+++ invariant theories. The proof is extended to include the intersecting extremal brane solutions of the exotic phases of the maximally oxidised theories.

17 pages

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Cited by in corpus (37)

• Spacelike Singularities and Hidden Symmetries of Gravity
• Hidden symmetries and the fermionic sector of eleven-dimensional supergravity
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• IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories
• K(E10), Supergravity and Fermions
• Counting supersymmetric branes
• IIB supergravity and E10
• Hidden Symmetries and Dirac Fermions
• Supersymmetric Domain Walls
• E10 Cosmology
• Exotic E11 branes as composite gravitational solutions
• Branes, Weights and Central Charges
• Geometric Configurations, Regular Subalgebras of E10 and M-Theory Cosmology
• G+++ and Brane Solutions
• E10 and Gauged Maximal Supergravity
• Dualities and signatures of G++ invariant theories
• Five-dimensional Supergravity and Hyperbolic Kac-Moody Algebra G2H
• Arithmetic and Hyperbolic Structures in String Theory
• E10 Orbifolds
• An M-theory solution from null roots in E11
• Poincare Duality and G+++ algebra's
• Black holes as generalised Toda molecules
• Some Algebraic Aspects of Half-BPS Bound States in M-Theory
• Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4
• Kac-Moody Algebras in M-theory
• Bound States of String Theory and Beyond
• The different faces of branes in Double Field Theory
• A Special Class of Rank 10 and 11 Coxeter Groups
• On Brane Solutions Related to Non-Singular Kac-Moody Algebras
• Exceptional Lie algebras and M-theory
• Black brane solutions related to non-singular Kac-Moody algebras
• The emergence of fermions and the E11 content
• A note on gauge fixing in supergravity/Kac-Moody correspondences
• Unifying R-symmetry in M-theory
• Gravitational Billiards, Dualities and Hidden Symmetries
• Gravitational theories coupled to matter as invariant theories under Kac-Moody algebras