The Ubiquitous Throat
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...
Main Authors: | , |
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Format: | Journal article |
Language: | English |
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2006
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author | Hebecker, A March-Russell, J |
author_facet | Hebecker, A March-Russell, J |
author_sort | Hebecker, A |
collection | OXFORD |
description | 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. |
first_indexed | 2024-03-06T23:27:54Z |
format | Journal article |
id | oxford-uuid:6b08c508-bc39-41e7-926a-f21e00c08f38 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-06T23:27:54Z |
publishDate | 2006 |
record_format | dspace |
spelling | oxford-uuid:6b08c508-bc39-41e7-926a-f21e00c08f382022-03-26T19:01:08ZThe Ubiquitous ThroatJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6b08c508-bc39-41e7-926a-f21e00c08f38EnglishSymplectic Elements at Oxford2006Hebecker, AMarch-Russell, JWe 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. |
spellingShingle | Hebecker, A March-Russell, J The Ubiquitous Throat |
title | The Ubiquitous Throat |
title_full | The Ubiquitous Throat |
title_fullStr | The Ubiquitous Throat |
title_full_unstemmed | The Ubiquitous Throat |
title_short | The Ubiquitous Throat |
title_sort | ubiquitous throat |
work_keys_str_mv | AT hebeckera theubiquitousthroat AT marchrussellj theubiquitousthroat AT hebeckera ubiquitousthroat AT marchrussellj ubiquitousthroat |