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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Acknowledgments
This work was initiated during the Mitchell workshop on Exceptional Field Theories, Strings and Holography at Texas A&M University in April 2018 and finalised during the workshop on Higher Structures, Gravity and Fields at the Mainz Institute for Theoretical Physics of the DFG Cluster of Excellence PRISMA+ (Project ID 39083149). We would like to thank the institute for its hospitality. We would also like to thank Olaf Hohm for taking part in the initial discussions. The work of ES is supported in part by the NSF grant PHYS-2112859.
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Bossard, G., Cederwall, M., Kleinschmidt, A. et al. Extended geometry of magical supergravities. J. High Energ. Phys. 2023, 162 (2023). https://doi.org/10.1007/JHEP05(2023)162
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DOI: https://doi.org/10.1007/JHEP05(2023)162