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Hierarchies from fluxes in string compactifications

TLDR
In this article, the authors show that the hierarchy of scales can be fixed by a choice of Ramond-Ramond and Neveu-Schwarz fluxes in the compact manifold, and give examples involving orientifold compactifications of type IIB string theory and F-theory compactifications on Calabi-Yau fourfolds.
Abstract
Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples involving orientifold compactifications of type-IIB string theory and F-theory compactifications on Calabi-Yau fourfolds. In each case, the hierarchy of scales is fixed by a choice of Ramond-Ramond and Neveu-Schwarz fluxes in the compact manifold. Our solutions involve compactifications of the Klebanov-Strassler gravity dual to a confining $\mathcal{N}=1$ supersymmetric gauge theory, and the hierarchy reflects the small scale of chiral symmetry breaking in the dual gauge theory.

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Citations
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Journal ArticleDOI

Constraints on Wrapped DBI Inflation in a Warped Throat

TL;DR: This article derived constraints on the tensor to scalar ratio and background charge of the warped throat for DBI inflation driven by D5-and D7-branes wrapped over cycles of the throat.
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Higgs-otic Inflation and String Theory

TL;DR: In this paper, it was shown that the inflaton/Higgs fields correspond to D7-brane positions along a two-torus transverse to them and that the required large field excursions of chaotic inflation may be realized in string theory with the (complex) inflaton and Higgs identified with a continuous Wilson line or D-branes position.
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Local string models of soft supersymmetry breaking

TL;DR: In this paper, the authors studied soft supersymmetry breaking in local models of type II string theory compactifications with branes and fluxes, where magnetic fluxes can be treated as auxiliary fields in N = 2 SUSY multiplets.
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Counting Flux Vacua

TL;DR: In this article, a technique for computing expected numbers of vacua in Gaussian ensembles of supergravity theories was developed, and applied to derive an asymptotic formula for the index counting all flux supersymmetric vacua with signs in Calabi-Yau compactification of type IIb string theory, which becomes exact in the limit of a large number of fluxes.
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Euclidean wormholes, baby universes, and their impact on particle physics and cosmology

TL;DR: In particular, wormholes are expected to break the shift symmetries of axions or Goldstone bosons non-perturbatively as discussed by the authors, which can be relevant to large-field inflation and connects to arguments made on the basis of the Weak Gravity or Swampland conjectures.
References
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Journal ArticleDOI

The Large N limit of superconformal field theories and supergravity

TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
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Large Mass Hierarchy from a Small Extra Dimension

TL;DR: In this paper, the weak scale is generated from the Planck scale through an exponential hierarchy, but this exponential arises not from gauge interactions but from the background metric, which is a slice of spacetime.
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An Alternative to compactification

TL;DR: In this paper, a single 3-brane embedded in five dimensions was shown to reproduce four-dimensional Newtonian and general relativistic gravity to more than adequate precision, even without a gap in the Kaluza-Klein spectrum.
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Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities

TL;DR: In this article, a non-singular pure-supergravity background dual to the field theory on all scales, with small curvature everywhere if the ‘t Hooft coupling gsM is large, was proposed.
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Superconformal field theory on threebranes at a Calabi-Yau singularity

TL;DR: In this paper, it was shown that string theory on AdS5 × X5 can be described by a certain N = 1 supersymmetric gauge theory, which we describe in detail.
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