Yang–Baxter Deformation of 2D Non-Linear Sigma Models
Yang–Baxter Deformation of 2D Non-Linear Sigma Models: Towards Applications to AdS/CFT
English | 2021 | ISBN: 9811617023 | 82 Pages | PDF EPUB | 4.2 MB
English | 2021 | ISBN: 9811617023 | 82 Pages | PDF EPUB | 4.2 MB
In mathematical physics, one of the fascinating issues is the study of integrable systems. In particular, non-perturbative techniques that have been developed have triggered significant insight for real physics. There are basically two notions of integrability: classical integrability and quantum integrability. In this book, the focus is on the former, classical integrability. When the system has a finite number of degrees of freedom, it has been well captured by the Arnold–Liouville theorem. However, when the number of degrees of freedom is infinite, as in classical field theories, the integrable structure is enriched profoundly. In fact, the study of classically integrable field theories has a long history and various kinds of techniques, including the classical inverse scattering method, which have been developed so far. In previously published books, these techniques have been collected and well described and are easy to find in traditional, standard textbooks.