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

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

2004-05-10

arxiv.org/abs/hep-th/0405082v1

JHEP 0405 (2004) 059

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

10.1088/1126-6708/2004/05/059

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.

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