Extended geometry of magical supergravities
Guillaume Bossard, Martin Cederwall, Axel Kleinschmidt, Jakob, Palmkvist, Ergin Sezgin, Linus Sundberg
TL;DR
This paper develops an extended geometric framework to describe duality symmetries in magical supergravities, introducing a novel approach for solving the section constraint using Satake diagrams.
Contribution
It introduces a new formulation of extended geometry with non-split real form structure groups, enhancing the understanding of duality symmetries in supergravity theories.
Findings
Geometrisation of duality symmetries in magical supergravities
A diagrammatic rule for solving the section constraint
Extension of extended geometry to non-split real forms
Abstract
We provide, through the framework of extended geometry, a geometrisation of the duality symmetries appearing in magical supergravities. A new ingredient is the general formulation of extended geometry with structure group of non-split real form. A simple diagrammatic rule for solving the section constraint by inspection of the Satake diagram is derived.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Quantum and Classical Electrodynamics