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Counting string theory standard models
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DOI：10.1016/j.physletb.2019.03.048.png)
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摘要
En 中文
We derive an approximate analytic relation between the number of consistent heterotic Calabi-Yau compactifications of string theory with the exact charged matter content of the standard model of particle physics and the topological data of the internal manifold: the former scaling exponentially with the number of Kohler parameters. This is done by an estimate of the number of solutions to a set of Diophantine equations representing constraints satisfied by any consistent heterotic string vacuum with three chiral massless families, and has been computationally checked to hold for complete intersection Calabi-Yau threefolds (CICYs) with up to seven Kohler parameters. When extrapolated to the entire CICY list, the relation gives similar to 10(23) string theory standard models; for the class of Calabi-Yau hypersurfaces in toric varieties, it gives similar to 10(723) standard models. (C) 2019 The Authors. Published by Elsevier B.V.
Keyword:
CALABI-YAU HYPERSURFACES
SYMMETRIES
MANIFOLDS
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