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.

arXiv comment25 pages + appendices, v2: published version, minor changes

References in corpus (27)

• On Lagrangians and Gaugings of Maximal Supergravities
• Generalized Geometry and M theory
• Exceptional Form of D=11 Supergravity
• Exceptional Field Theory II: E${}_{7(7)}$
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Quantum Criticality and Holographic Superconductors in M-theory
• Duality Invariant M-theory: Gauged supergravities and Scherk-Schwarz reductions
• Extended geometry and gauged maximal supergravity
• An N = 2 Supersymmetric Membrane Flow
• Consistent Type IIB Reductions to Maximal 5D Supergravity
• Geometry and fluxes of SL(5) exceptional field theory
• Dyonic ISO(7) supergravity and the duality hierarchy
• Half-maximal supersymmetry from exceptional field theory
• Systematics of consistent truncations from generalised geometry
• The Geometry, Branes and Applications of Exceptional Field Theory
• Tri-Sasakian consistent reduction
• Generalised Scherk-Schwarz reductions from gauged supergravity
• N=2 supersymmetric AdS_4 solutions of M-theory
• On the Euler angles for SU(N)
• The exceptional generalised geometry of supersymmetric AdS flux backgrounds
• The complete $D=11$ embedding of SO(8) supergravity
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• Embedding the SU(3) sector of SO(8) supergravity in $D=11$
• Kaluza-Klein Spectrometry beyond Consistent Truncations: The Squashed $S^7$
• An overview of generalised Kac-Moody algebras on compact real manifolds
• Exotic potentials and Bianchi identities in SL(5) exceptional field theory

Cited by in corpus (1)

• Kac-Moody Algebras on Soft Group Manifolds