On the Scarcity of Weak Coupling in the String Landscape
High Energy Physics - Theory
2018-04-04 v1
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.
Cite
@article{arxiv.1710.09374,
title = {On the Scarcity of Weak Coupling in the String Landscape},
author = {James Halverson and Cody Long and Benjamin Sung},
journal= {arXiv preprint arXiv:1710.09374},
year = {2018}
}
Comments
30 pages, 10 figures