Skyrme fields, multi-instantons and the $SU(\infty)$ -Toda equation

DOI10.1088/1361-6544/aae741zbMath1410.35238arXiv1611.01444OpenAlexW2962816314WikidataQ125722228 ScholiaQ125722228MaRDI QIDQ4644680

Prim Plansangkate

Publication date: 8 January 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01444

zbMATH Keywords

instantonsSkyrme fields\(\mathrm {SU}(\infty)\)-Toda equation

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Gravitational interaction in quantum theory (81V17) PDEs in connection with relativity and gravitational theory (35Q75) Soliton solutions (35C08) Special quantum systems, such as solvable systems (81Q80)

Cites Work

• Unnamed Item
• Gravitational instantons as models for charged particle systems
• Harmonic functions and instanton moduli spaces on the multi-Taub-NUT space
• Yang-Mills instantons from gravitational instantons
• On Yang-Mills instantons over multi-centered gravitational instantons
• Rational maps, monopoles and skyrmions
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Scalar-flat Kähler metrics with conformal Bianchi V symmetry
• Minitwistor spaces and Einstein-Weyl spaces
• Killing vectors in self-dual, Euclidean Einstein spaces
• Einstein-Weyl spaces and SU(∞) Toda fields
• Summing up Dirichlet Instantons
• Twistor theory at fifty: from contour integrals to twistor strings
• Topological Solitons
• Scalar-flat Kähler and hyper-Kähler metrics from Painlevé-III
• Geometric models of matter
• Skyrmions from gravitational instantons

This page was built for publication: Skyrme fields, multi-instantons and the $SU(\infty)$ -Toda equation