Counting string theory standard models
Constantin, A., He, Y. 
ORCID: 0000-0002-0787-8380 & Lukas, A. (2019).
Counting string theory standard models.
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 792,
pp. 258-262.
doi: 10.1016/j.physletb.2019.03.048
Abstract
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 Kähler 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 Kähler parameters. When extrapolated to the entire CICY list, the relation gives ∼10 23 string theory standard models; for the class of Calabi-Yau hypersurfaces in toric varieties, it gives ∼10 723 standard models.
| Publication Type: | Article |
|---|---|
| Additional Information: | ©2019 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology > Department of Mathematics |
| SWORD Depositor: |
Available under License Creative Commons Attribution.
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