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We show that M-theory admits a class of supersymmetric eight-dimensional compactification background solutions, equipped with an internal complex pure spinor, more general than the Calabi-Yau one. Building-up on this result, we obtain a a particular class of supersymmetric M-theory eight-dimensional non-geometric compactification backgrounds with external three-dimensional...

Abstract Motivated by the description of \( \mathcal{N}=1 \) M-theory compactifications to four-dimensions given by Exceptional Generalized Geometry, we propose a way to geometrize the M-theory fluxes by appropriately relating the compactification space to a higher-dimensional manifold equipped with a torsion-free structure. As a non-trivial example of this proposal, we construct...

The perturbative α′ corrections to Type-IIA String Theory compactified on a Calabi-Yau three-fold allow the construction of regular three-charge supersymmetric black holes in four dimensions, whose entropy scales with the charges as \( S\sim {\left({p}^1{p}^2{p}^3\right)}^{\frac{2}{3}} \). We construct an M-theory uplift of these “quantum” black holes and show that they can be...

We describe off-shell \( \mathcal{N}=1 \) M-theory compactifications down to four dimensions in terms of eight-dimensional manifolds equipped with a topological Spin(7)-structure. Motivated by the exceptionally generalized geometry formulation of M-theory compactifications, we consider an eight-dimensional manifold \( {\mathrm{\mathcal{M}}}_8 \) equipped with a particular set of...

We perform a thorough investigation of Lifshitz-like metrics with hyperscaling violation (hvLif) in four-dimensional theories of gravity coupled to an arbitrary number of scalars and vector fields, obtaining new solutions, electric, magnetic, and dyonic, that include the known ones as particular cases. After establishing some general results on the properties of purely hvLif...

We study N=2 supergravity deformed by a genuine supersymmetric completion of the λR 4 term, using the underlying off shell N=2 superconformal framework. The gauge-fixed superconformal model has unbroken local supersymmetry of N=2 supergravity with higher derivative deformation. Elimination of auxiliary fields leads to the deformation of the supersymmetry rules as well as to the...