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 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.

30 pages, 10 figures

References in corpus (7)

• Machine Learning in the String Landscape
• F-theory uplifts and GUTs
• On Algorithmic Universality in F-theory Compactifications
• Calabi-Yau threefolds with large h^{2, 1}
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• D(-1)-Instanton Superpotential In String Theory
• On the Elliptic Calabi-Yau Fourfold with Maximal $h^{1,1}$
• Constraints on Standard Model Constructions in F-theory
• High Performance Algorithms for Quantum Gravity and Cosmology