On the scarcity of weak coupling in the string landscape

Abstract We study the geometric requirements on a threefold base for the corresponding F-theory compactification to admit a weakly-coupled type IIB limit. We examine both the standard Sen limit and a more restrictive limit, and determine conditions sufficient for their non-existence for both toric b...

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Main Authors: James Halverson, Cody Long, Benjamin Sung
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP02(2018)113
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author James Halverson
Cody Long
Benjamin Sung
author_facet James Halverson
Cody Long
Benjamin Sung
author_sort James Halverson
collection DOAJ
description Abstract We study the geometric requirements on a threefold base for the corresponding F-theory compactification to admit a weakly-coupled type IIB limit. We examine both the standard Sen limit and a more restrictive limit, and determine conditions sufficient for their non-existence for both toric bases and more general algebraic bases. In a large ensemble of geometries generated by base changing resolutions we derive an upper bound on the frequency with which a weak-coupling limit may occur, and find that such limits are extremely rare. Our results sharply quantify the widely held notion that the vast number of weakly-coupled IIB vacua is but a tiny fraction of the landscape.
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spelling doaj.art-39fa9307f7584a12b52df778e914874e2022-12-22T00:13:52ZengSpringerOpenJournal of High Energy Physics1029-84792018-02-012018212910.1007/JHEP02(2018)113On the scarcity of weak coupling in the string landscapeJames Halverson0Cody Long1Benjamin Sung2Department of Physics, Northeastern UniversityDepartment of Physics, Northeastern UniversityDepartment of Physics, Northeastern UniversityAbstract We study the geometric requirements on a threefold base for the corresponding F-theory compactification to admit a weakly-coupled type IIB limit. We examine both the standard Sen limit and a more restrictive limit, and determine conditions sufficient for their non-existence for both toric bases and more general algebraic bases. In a large ensemble of geometries generated by base changing resolutions we derive an upper bound on the frequency with which a weak-coupling limit may occur, and find that such limits are extremely rare. Our results sharply quantify the widely held notion that the vast number of weakly-coupled IIB vacua is but a tiny fraction of the landscape.http://link.springer.com/article/10.1007/JHEP02(2018)113F-TheoryFlux compactifications
spellingShingle James Halverson
Cody Long
Benjamin Sung
On the scarcity of weak coupling in the string landscape
Journal of High Energy Physics
F-Theory
Flux compactifications
title On the scarcity of weak coupling in the string landscape
title_full On the scarcity of weak coupling in the string landscape
title_fullStr On the scarcity of weak coupling in the string landscape
title_full_unstemmed On the scarcity of weak coupling in the string landscape
title_short On the scarcity of weak coupling in the string landscape
title_sort on the scarcity of weak coupling in the string landscape
topic F-Theory
Flux compactifications
url http://link.springer.com/article/10.1007/JHEP02(2018)113
work_keys_str_mv AT jameshalverson onthescarcityofweakcouplinginthestringlandscape
AT codylong onthescarcityofweakcouplinginthestringlandscape
AT benjaminsung onthescarcityofweakcouplinginthestringlandscape