Exceptional generalised geometry for massive IIA and consistent reductions
Abstract
We develop an exceptional generalised geometry formalism for massive type IIA supergravity. In particular, we construct a deformation of the generalised Lie derivative, which generates the type IIA gauge transformations as modified by the Romans mass. We apply this new framework to consistent Kaluza-Klein reductions preserving maximal supersymmetry. We find a generalised parallelisation of the exceptional tangent bundle on S^6, and from this reproduce the consistent truncation ansatz and embedding tensor leading to dyonically gauged ISO(7) supergravity in four dimensions. We also discuss closely related hyperboloid reductions, yielding a dyonic ISO(p,7-p) gauging. Finally, while for vanishing Romans mass we find a generalised parallelisation on S^d, d=4,3,2, leading to a maximally supersymmetric reduction with gauge group SO(d+1) (or larger), we provide evidence that an analogous reduction does not exist in the massive theory.
Keywords
Cite
@article{arxiv.1605.00563,
title = {Exceptional generalised geometry for massive IIA and consistent reductions},
author = {Davide Cassani and Oscar de Felice and Michela Petrini and Charles Strickland-Constable and Daniel Waldram},
journal= {arXiv preprint arXiv:1605.00563},
year = {2016}
}
Comments
69 pages; v2: version published in JHEP