Exceptional generalised geometry for massive IIA and consistent reductions

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.