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arXiv · 1605.00563

Exceptional generalised geometry for massive IIA and consistent reductions

Davide Cassani·Oscar de Felice·Michela Petrini·Charles Strickland-Constable·Daniel Waldram
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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.

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Davide Cassani, Oscar de Felice, Michela Petrini, Charles Strickland-Constable, Daniel Waldram. 2016-05-02. Exceptional generalised geometry for massive IIA and consistent reductions. https://doi.org/10.1007/jhep08(2016)074

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