Integrable deformations of sigma models

Hoare, Ben

Abstract

In this pedagogical review we introduce systematic approaches to deforming integrable two-dimensional sigma models. We use the integrable principal chiral model and the conformal Wess–Zumino–Witten model as our starting points and explore their Yang–Baxter and current–current deformations. There is an intricate web of relations between these models based on underlying algebraic structures and worldsheet dualities, which is highlighted throughout. We finish with a discussion of the generalisation to other symmetric integrable models, including some original results related to ${\mathbb{Z}}_{T}$ cosets and their deformations, and the application to string theory. This review is based on notes written for lectures delivered at the school 'Integrability, Dualities and Deformations', which ran from 23 to 27 August 2021 in Santiago de Compostela and virtually.

Citation

Hoare, B. (2022). Integrable deformations of sigma models. Journal of Physics A: Mathematical and Theoretical, 55(9), Article 093001. https://doi.org/10.1088/1751-8121/ac4a1e

• Journal Article Type: Article
• Acceptance Date: Jan 11, 2022
• Online Publication Date: Feb 4, 2022
• Publication Date: Mar 4, 2022
• Deposit Date: Feb 4, 2022
• Publicly Available Date: Feb 7, 2022
• Journal: Journal of Physics A: Mathematical and Theoretical
• Print ISSN: 1751-8113
• Electronic ISSN: 1751-8121
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 55
• Issue: 9
• Article Number: 093001
• DOI: https://doi.org/10.1088/1751-8121/ac4a1e
• Public URL: https://durham-repository.worktribe.com/output/1214560
• Related Public URLs: https://arxiv.org/abs/2109.14284