Dualities and signatures of G++ invariant theories
Sophie de Buyl, Laurent Houart, Nassiba Tabti

TL;DR
This paper explores the properties and dualities of G++ invariant theories related to gravity and M-theories, focusing on exotic phases and their signatures through Weyl reflection analysis.
Contribution
It introduces a detailed analysis of exotic phases and signatures of G++ theories, revealing their dualities and exact solutions involving intersecting branes.
Findings
Identification of exotic phases with exact solutions
Analysis of signatures related by Weyl reflections
Insights into dualities in 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.
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