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arXiv · 2407.01298

Infinite and finite consistent truncations on deformed generalised parallelisations

Chris D. A. Blair·Martin Pico·Oscar Varela
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Abstract

Given a manifold $\mathbb{M}$ admitting a maximally supersymmetric consistent truncation, we show how to formulate new consistent truncations by restricting to a set of Kaluza-Klein modes on $\mathbb{M}$ invariant under some subgroup of the group of isometries of $\mathbb{M}$. 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 $\mathbb{M}$. 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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Chris D. A. Blair, Martin Pico, Oscar Varela. 2024-07-01. Infinite and finite consistent truncations on deformed generalised parallelisations. https://doi.org/10.1007/jhep09(2024)065

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