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
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References
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New type IIB vacua and their F theory interpretation
TL;DR: In this paper, a D3-D7 system in type IIB string theory is described by AdS5×X5 where X5 is a U(1) bundle over a Kahler-Einstein complex surface S with positive first Chern class c1>0.
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On supersymmetry breaking in string theory and its realization in brane worlds
TL;DR: In this article, the authors use string duality to describe instanton induced spontaneous supersymmetry breaking in string compactifications with additional background fields, which can be explicitly calculated by geometric methods.
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Gravity Duals of Fractional Branes and Logarithmic RG Flow
Igor R. Klebanov,Nikita Nekrasov +1 more
TL;DR: In this paper, the authors studied fractional branes as small perturbations to the cosy background of the conifold theory and obtained a supersymmetric version of the field theory with fractional D3-branes.
Or can string theory predict the weak mixing angle
TL;DR: In this paper, the weak mixing angle θ w is the same for continuously connected classical vacua of the heterotic string which have chiral fermions in their massless spectra.
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Warped compactifications in M and F theory
TL;DR: In this paper, the authors studied M and F theory compactifications on Calabi-Yau four-folds in the presence of non-trivial background flux and derived the explicit warp factor in the orbifold limit of these compactifications.