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arXiv · 1710.09374

On the Scarcity of Weak Coupling in the String Landscape

James Halverson·Cody Long·Benjamin Sung
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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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James Halverson, Cody Long, Benjamin Sung. 2017-10-25. On the Scarcity of Weak Coupling in the String Landscape. https://doi.org/10.1007/jhep02(2018)113

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