Journal of High Energy Physics (Sep 2024)

Infinite and finite consistent truncations on deformed generalised parallelisations

  • Chris D. A. Blair,
  • Martín Pico,
  • Oscar Varela

DOI
https://doi.org/10.1007/JHEP09(2024)065
Journal volume & issue
Vol. 2024, no. 9
pp. 1 – 41

Abstract

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Abstract Given a manifold M $$ \mathbbm{M} $$ admitting a maximally supersymmetric consistent truncation, we show how to formulate new consistent truncations by restricting to a set of Kaluza-Klein modes on M $$ \mathbbm{M} $$ invariant under some subgroup of the group of isometries of M $$ \mathbbm{M} $$ . 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 M $$ \mathbbm{M} $$ . 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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