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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

On the Taxonomy of Flux Vacua

TL;DR: In this paper, the authors investigated the properties of IIB flux vacua on Calabi-Yau orientifolds, by constructing and characterizing a very large set of vacua in a specific example.
Journal ArticleDOI

On classical de Sitter vacua in string theory

TL;DR: In this paper, the authors review the prospect of obtaining tree-level de Sitter vacua and slow-roll inflation models in string compactifications, focusing on two well-controlled classes that lead to an effective 4D, = 1 supergravity description: Type IIA theory on group or coset manifolds with SU(3)-structure and O6-planes, as well as type IIB compactifications on SU(2)-structures with O5-and O7-planes.
Journal ArticleDOI

On the explicit construction and statistics of Calabi-Yau flux vacua

TL;DR: In this article, the statistics of flux vacua for type IIB string theory on an orientifold of the Calabi-Yau hypersurface were explicitly constructed and compared with the predictions of the Ashok-Douglas density.
Journal ArticleDOI

Higher-derivative supergravity and moduli stabilization

TL;DR: In this paper, the ghost-free four-derivative terms for chiral superfields were discussed and compared in terms of supersymmetry and supergravity, and it was shown that only one of them is consistent with the principles of effective field theory.
Journal ArticleDOI

General axisymmetric solutions and self-tuning in 6D chiral gauged supergravity

TL;DR: In this article, the authors re-examine the properties of axially-symmetric solutions to chiral gauged 6D supergravity, and show that not all of these solutions have purely conical singularities at the brane positions.
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.
Journal ArticleDOI

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.
Journal ArticleDOI

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.
Journal ArticleDOI

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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