Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds

Abstract : We propose a universal geometric formulation of gauged supergravity in terms of a twisted doubled torus. We focus on string theory/M-theory reductions with generalized Scherk--Schwarz twists residing in the O(n,n)/E_{7(7)} duality group. The set of doubled geometric fluxes, associated with the duality twists and identified naturally with the embedding tensor of gauged supergravity, captures all known fluxes, i.e.~physical form fluxes, ordinary geometric fluxes, as well as their non-geometric counterparts. Furthermore, we propose a prescription for obtaining the effective geometry embedded in the string theory twisted doubled torus or in the M-theory megatorus and apply it for several models of geometric and non-geometric flux compactifications.
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Gianguido Dall'Agata, Nikolaos Prezas, Henning Samtleben, Mario Trigiante. Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds. Nuclear Physics B, Elsevier, 2008, 799 (799), pp.80. ⟨10.1016/j.nuclphysb.2008.02.020⟩. ⟨ensl-00196727⟩

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