Infinite and finite consistent truncations on deformed generalised parallelisations

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.

25 pages + appendices, v2: published version, minor changes

References in corpus (4)

• Generalized Geometry and M theory
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Half-maximal supersymmetry from exceptional field theory