Distinguishing elliptic fibrations with AI
Creators
- 1. School of Physics, NanKai University, Tianjin, 300071 (China)
- 2. Merton College, University of Oxford, OX14JD (United Kingdom)
- 3. Department of Mathematics, City, University of London, EC1V0HB (United Kingdom)
- 4. CERN, Theory Department, 1 Esplande des Particules, Geneva 23, CH-1211 (Switzerland)
Description
We use the latest techniques in machine-learning to study whether from the landscape of Calabi-Yau manifolds one can distinguish elliptically fibred ones. Using the dataset of complete intersections in products of projective spaces (CICY3 and CICY4, totalling about a million manifolds) as a concrete playground, we find that a relatively simple neural network with forward-feeding multi-layers can very efficiently distinguish the elliptic fibrations, much more so than using the traditional methods of manipulating the defining equations. We cross-check with control cases to ensure that the AI is not randomly guessing and is indeed identifying an inherent structure. Our result should prove useful in F-theory and string model building as well as in pure algebraic geometry.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physletb.2019.134889Additional details
Identifiers
- DOI
- 10.1016/j.physletb.2019.134889;
- PII
- S0370269319306033;
Publishing Information
- Journal Title
- Physics Letters. Section B
- Journal Volume
- 798
- Journal Page Range
- vp.
- ISSN
- 0370-2693
- CODEN
- PYLBAJ
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 55011466
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- FIBERS; GEOMETRY; MACHINE LEARNING; NEURAL NETWORKS; RANDOMNESS; STRING MODELS
- Descriptors DEC
- ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPOSITE MODELS; EXTENDED PARTICLE MODEL; LEARNING; MATHEMATICAL LOGIC; MATHEMATICAL MODELS; MATHEMATICS; PARTICLE MODELS; QUARK MODEL
Optional Information
- Copyright
- Copyright (c) 2019 The Authors. Published by Elsevier B.V.