D = 3 unification of curious supergravities

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Regular Article - Theoretical Physics
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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 \( \mathcal{N}=1 \) 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.

Keywords

Supergravity Models Extended Supersymmetry M-Theory Differential and Algebraic Geometry 

Notes

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Copyright information

© The Author(s) 2017

Authors and Affiliations

  1. 1.Theoretical Physics, Blackett LaboratoryImperial College LondonLondonU.K.
  2. 2.Mathematical Institute University of OxfordOxfordU.K.
  3. 3.Theoretical Physics DepartmentCERNGenevaSwitzerland
  4. 4.INFN — Laboratori Nazionali di FrascatiFrascatiItaly
  5. 5.Department of Physics and Astronomy and Mani L. Bhaumik Institute for Theoretical PhysicsUCLALos AngelesU.S.A.
  6. 6.Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi”RomaItaly
  7. 7.Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova and INFNPadovaItaly

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