Spheres, generalised parallelisability and consistent truncations
File(s)
Accepted version
Author(s)
Lee, Kanghoon
Strickland-Constable, Charles
Waldram, Daniel
Type
Journal Article
Abstract
We show that generalised geometry gives a unified description of maximally supersymmetric consistent truncations of ten- and eleven-dimensional supergravity. In all cases the reduction manifold admits a “generalised parallelisation” with a frame algebra with constant coefficients. The consistent truncation then arises as a generalised version of a conventional Scherk–Schwarz reduction with the frame algebra encoding the embedding tensor of the reduced theory. The key new result is that all round-sphere math formula geometries admit such generalised parallelisations with an math formula frame algebra. Thus we show that the remarkable consistent truncations on S3, S4, S5 and S7 are in fact simply generalised Scherk–Schwarz reductions. This description leads directly to the standard non-linear scalar-field ansatze and as an application we give the full scalar-field ansatz for the type IIB truncation on S5.
Date Issued
2017-10-06
Date Acceptance
2017-07-19
Citation
Fortschritte der Physik / Progress of Physics, 2017, 65 (10-11)
ISSN
0015-8208
Publisher
Wiley-VCH Verlag
Journal / Book Title
Fortschritte der Physik / Progress of Physics
Volume
65
Issue
10-11
Copyright Statement
© 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. K. Lee, C. Strickland-Constable, D. Waldram, Fortschr. Phys. 2017, 65, 1700048. https://doi.org/10.1002/prop.201700048
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Science and Technology Facilities Council (STFC)
Science and Technology Facilities Council (STFC)
Grant Number
EP/K034456/1
ST/L00044X/1
ST/J000353/1
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
Supergravity
Generalised geometry
Flux compactifications
Consistent truncations
ADS(7) X S(4)
FLUX COMPACTIFICATIONS
DIMENSIONAL REDUCTION
IIB SUPERGRAVITY
ODD DIMENSIONS
TWISTED TORI
SELF-DUALITY
SUPERSYMMETRY
ALGEBRAS
Publication Status
Published
Article Number
ARTN 1700048
Date Publish Online
2017-07-20