Description
One of the intriguing subjects in classically integrable systems is the investigation of deformations preserving integrability. Usually, it is not considered systematic to perform such a deformation, and one must study systems case by case and show the integrability of the deformed systems by constructing the associated Lax pair or action-angle variables.
Recently, a new, systematic method to perform integrable deformations of 2D non-linear sigma models was developed. It was invented by C. Klimcik in 2002, and the integrability of the deformed sigma models was shown in 2008. The original work was done for 2D principal chiral models, but it has been generalized in various directions nowadays. In this book, the recent progress on this Yang-Baxter deformation is described in a pedagogical manner, including some simple examples. Applications of Yang-Baxter deformation to string theory are also described briefly.
Reviews
"This book gives a pedagogical introduction to Yang-Baxter deformations of two-dimensional non-linear sigma models that is accessible to students and researchers in other fields." (Parinya Karndumri, Mathematical Reviews, July, 2022)
Book Information
ISBN 9789811617027
Author Kentaroh Yoshida
Format Paperback
Page Count 70
Imprint Springer Verlag, Singapore
Publisher Springer Verlag, Singapore