Classically integrable non-linear sigma models and their geometric properties

DOI10.7546/JGSP-59-2021-47-65zbMath1468.53079OpenAlexW3171630919MaRDI QIDQ2037025

Paul Bracken

Publication date: 30 June 2021

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7546/jgsp-59-2021-47-65

zbMATH Keywords

geometrymanifoldtorsionmetriccurvaturesigma modelLax pairfield

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Surfaces in Euclidean and related spaces (53A05)

Cites Work

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• On the geometry of classically integrable two-dimensional non-linear sigma models
• GENERALIZED WEIERSTRASS-ENNEPER INDUCING, CONFORMAL IMMERSIONS, AND GRAVITY
• Symmetry properties and explicit solutions of the generalized Weierstrass system
• Deformation of surfaces, integrable systems, and Chern–Simons theory
• Particles and Quantum Fields
• Induced Surfaces and Their Integrable Dynamics

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