Integrability in Sigma-Models

2017/12/20 by Konstantin Zarembo, Zarembo, K. · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1712.07725

openalex publication_date 2017/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a write-up of lectures on integrable sigma-models, which covers the following topics: (1) Homogeneous spaces, (2) Classical integrability of sigma-models in two dimensions, (3) Topological terms, (4) Background-field method and beta-function, (5) S-matrix bootstrap in the O(N) model, (6) Supersymmetric cosets and strings on AdS(d)xX.

Citations

• Global aspects of current algebra
• How Algebraic Bethe Ansatz works for integrable model
• Structure of Phenomenological Lagrangians. I
• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

Cited by

• On integrable structure of the null string in (anti-)de Sitter space
• Isoclinism in regular Hom-Lie Yamaguti algebras
• String Integrability on the Coulomb Branch

Related

• Auxiliary Field Deformations of (Semi-)Symmetric Space Sigma Models
• Generalized Topological Sigma Model
• Notes on the Sigma invariants
• The integrable O(6) model and the correspondence: checks and predictions
• Integrable Extension of Nonlinear Sigma Model