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Gauged supergravities and the physics of extra dimensions
TL;DR: In this paper, the authors analyze the origin of the notion of geometric flux compactifications in supergravities in various dimensions and their possible origin from compactifications of string theory.
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Abstract: This thesis analyses gauged supergravities in various dimensions and their possible origin from compactifications of string theory. In the effective description the fluxes appear in the theory as deformation parameters generating a potential for the scalar fields. Physics after compactification is only sensitive to the orbits of the global symmetry group, in that gaugings lying in the same orbit are related by duality transformations. Given a certain gauged supergravity containing non-geometric fluxes, we discuss in dimension seven and higher whether there exists a duality transformation that rotates them away and, for those cases in which this is not possible, we give an interpretation as compactifications of Double Field Theory (DFT). Focusing then on our better understanding of geometric flux compactifications, we analyse further in this thesis a class of compactifications down to four dimensions which are compatible with half-maximal supersymmetry (orientifold compactifications) and discuss their embedding in maximal supergravity in the limit of vanishing local sources.
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Citations
Comments on double field theory and diffeomorphisms
TL;DR: In this article, a tensor transformation rule for finite coordinate transformations is shown to be consistent with the standard exponential map and compatible with the full covariance of the derivatives and curvatures after projectors are properly imposed.
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Bounds on Slow Roll at the Boundary of the Landscape
TL;DR: In this article, it was shown that the tree-level slow-roll bounds of arXiv:1807.05193 and arXav:1810.05506 are valid even when the tachyon has overlap with the volume of the cycle wrapped by the orientifold.
Bounds on slow roll at the boundary of the landscape
TL;DR: In this article, it was shown that for any point ϕ 0 in an N-dimensional field space with V (ϕ 0) > 0, there exists a path of monotonically decreasing potential energy to a pointϕ 1 within a path length.
A New Approach to Non-Abelian Hydrodynamics
TL;DR: In this article, the Kaluza-Klein compactification of a higher-dimensional neutral dissipative fluid on a group manifold is used to obtain a d = 4 colored dissipative liquid coupled to Yang-Mills gauge field.
Geometric non-geometry
TL;DR: In this article, a group-theoretical derivation of the corresponding flux-induced superpotentials of M-theory compactifications is presented, and it is shown that the aforementioned backgrounds provide a (globally) geometric origin for 4D theories that only look locally geometric from the perspective of twisted tori.
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