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.read more
Citations
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Branches of the landscape
TL;DR: In this paper, the authors show that there are three branches of the ∞ux landscape of supersymmetry breaking: the first is the fundamental scale, the second is a logarithmic scale, and the third is a very low scale.
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D7-brane motion from M-theory cycles and obstructions in the weak coupling limit
TL;DR: In this article, the locations of D7-branes are encoded in the periods of certain M-theory cycles, which allows for a very explicit understanding of the moduli space of D-brane motion.
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The universal Kahler modulus in warped compactifications
Andrew R. Frey,Gonzalo Torroba,Gonzalo Torroba,Bret Underwood,Michael R. Douglas,Michael R. Douglas +5 more
TL;DR: In this article, the universal Kahler modulus in warped compactifications was constructed at the linear level for both the volume modulus and its axionic partner, and nontrivial cancellations of warping effects are found in the dimensional reduction.
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Supergravity duals of supersymmetric four dimensional gauge theories
TL;DR: In this article, an overview of some recent attempts at understanding supergravity and string duals of four dimensional gauge theories using the AdS/CFT correspondence is presented, and the general philosophy underlying the various ways to realize Super YangMills theories in terms of systems of branes is discussed.
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The ubiquitous throat
TL;DR: In this paper, a simple statistical analysis in the spirit of Denef and Douglas allows to estimate the expected number and length of Klebanov-Strassler throats in a given set of vacua, and they find that throats capable of explaining the electroweak hierarchy are present in a large fraction of the landscape vacua while shorter throats are essentially unavoidable in a statistical sense.
References
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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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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
Igor R. Klebanov,Edward Witten +1 more
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.