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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