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Yang–Baxter Deformation of 2D Non-Linear Sigma Models

Part of the SpringerBriefs in Mathematical Physics Book Series (volume 40)

DOI: 10.1007/978-981-16-1703-4

ISBN: 978-981-16-1702-7

Publisher: Springer Singapore - Springer Journals

Jun 4, 2021

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Chapter 1Integrable Non-linear Sigma Models in (1+1)-Dimensions

Yoshida, Kentaroh

Pages: 1 –33

[This chapter will introduce the notion of classical integrability of non-linear sigma models in two dimensions. In general, non-linear sigma models are not classically integrable in general dimensions and even in two dimensions. However, there are well-known integrable examples in two dimensions...
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Chapter 2Yang–Baxter Sigma Models

Yoshida, Kentaroh

Pages: 35 –57

[An intriguing subject is to consider integrable deformations of 2D non-linear sigma models such as principal chiral models and symmetric coset sigma models. There had been no systematic way to perform integrable deformations for a long time. However, recently an elegant and systematic way, the...
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Chapter 3Recent Progress on Yang–Baxter Deformation and Generalized Supergravity

Yoshida, Kentaroh

Pages: 59 –70

[In recent years, great progress has been made on a systematic method to perform an integrable deformation of a two-dimensional relativistic non-linear sigma model. The deformations are labeled by classical r-matrices satisfying the classical Yang–Baxter equation, and this method is called the...

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