# D = 3 unification of curious supergravities

Journal of High Energy Physics, Jan 2017

We consider the dimensional reduction to D = 3 of four maximal-rank super-gravities which preserve minimal supersymmetry in D = 11, 7, 5 and 4. Such “curious” theories were investigated some time ago, and the four-dimensional one corresponds to an $\mathcal{N}=1$ supergravity with 7 chiral multiplets spanning the seven-disk manifold. Recently, this latter theory provided cosmological models for α-attractors, which are based on the disk geometry with possible restrictions on the parameter α. A unified picture emerges in D = 3, where the Ehlers group of General Relativity merges with the S-, T- and U-dualities of the D = 4 parent theories.

This is a preview of a remote PDF: http://link.springer.com/content/pdf/10.1007%2FJHEP01%282017%29023.pdf

M. J. Duff, S. Ferrara, A. Marrani. D = 3 unification of curious supergravities, Journal of High Energy Physics, 2017, DOI: 10.1007/JHEP01(2017)023