D = 3 unification of curious supergravities
Abstract
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 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.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- January 2017
- DOI:
- arXiv:
- arXiv:1610.08800
- Bibcode:
- 2017JHEP...01..023D
- Keywords:
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- Supergravity Models;
- Extended Supersymmetry;
- M-Theory;
- Differential and Algebraic Geometry;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 1+7 pages