There is a newer version of the record available.

Published November 2019 | Version v1
Journal article

Distinguishing elliptic fibrations with AI

  • 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.2019.134889

Additional 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.