Abstract
Given a manifold \( \mathbbm{M} \) admitting a maximally supersymmetric consistent truncation, we show how to formulate new consistent truncations by restricting to a set of Kaluza-Klein modes on \( \mathbbm{M} \) invariant under some subgroup of the group of isometries of \( \mathbbm{M} \). These truncations may involve either finite or infinite sets of modes. We provide their global description using exceptional generalised geometry to construct a ‘deformed’ generalised parallelisation starting with that on \( \mathbbm{M} \). This allows us to explicitly embed known consistent truncations directly into exceptional generalised geometry/exceptional field theory, and to obtain the equations governing situations where the consistent truncation retains an infinite tower of modes.
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Acknowledgments
We would like to thank Mattia Cesàro for collaboration at the initial stage of this project. MP is supported by predoctoral award FPU22/02084 from the Spanish Government. OV is supported by NSF grant PHY-2310223.
This work is also supported through the grants CEX2020-001007-S and PID2021- 123017NB-I00, funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe.
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Blair, C.D.A., Pico, M. & Varela, O. Infinite and finite consistent truncations on deformed generalised parallelisations. J. High Energ. Phys. 2024, 65 (2024). https://doi.org/10.1007/JHEP09(2024)065
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DOI: https://doi.org/10.1007/JHEP09(2024)065