The ubiquitous throat
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Publication:2381435
DOI10.1016/J.NUCLPHYSB.2007.05.003zbMATH Open1188.83085arXivhep-th/0607120OpenAlexW2125286560MaRDI QIDQ2381435
Author name not available (Why is that?)
Publication date: 17 September 2007
Published in: (Search for Journal in Brave)
Abstract: We attempt to quantify the widely-held belief that large hierarchies induced by strongly-warped geometries are common in the string theory landscape. To this end, we focus on the arguably best-understood subset of vacua -- type IIB Calabi-Yau orientifolds with non-perturbative Kaehler stabilization and a SUSY-breaking uplift (the KKLT setup). Within this framework, vacua with a realistically small cosmological constant are expected to come from Calabi-Yaus with a large number of 3-cycles. For appropriate choices of flux numbers, many of these 3-cycles can, in general, shrink to produce near-conifold geometries. Thus, a simple statistical analysis in the spirit of Denef and Douglas allows us to estimate the expected number and length of Klebanov-Strassler throats in the given set of vacua. We find that throats capable of explaining the electroweak hierarchy are expected to be present in a large fraction of the landscape vacua while shorter throats are essentially unavoidable in a statistical sense.
Full work available at URL: https://arxiv.org/abs/hep-th/0607120
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