# Integrability in Sigma-Models

Source: [Integrability in Sigma-Models](<https://www.sota2.com/research/paper/68fa36ed1e209131ce8ae18b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T22:06:25.659Z

Authors: K. Zarembo

Published: 2017-12-20T21:57:51.000Z

## 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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1712.07725>)

[PDF](<https://arxiv.org/pdf/1712.07725.pdf>)