Yang-Baxter Deformation of 2D Non-Linear SIGMA Models: Towards Applications to Ads/Cft

Language: English

Published by SPRINGER NATURE Jun 2021, 2021

9811617023 / 9789811617027

Series: Book 40 of 40 - SpringerBriefs in Mathematical Physics

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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.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. 70 pp. Englisch.…

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Title
Yang-Baxter Deformation of 2D Non-Linear SIGMA Models: Towards Applications to Ads/Cft
Author
Kentaroh Yoshida
Publisher
SPRINGER NATURE Jun 2021
Publication year
2021
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
9811617023
ISBN 13
9789811617027
Item weight
132 grams
Dimensions
234x156x4 mm
Series
Book 40 of 40: SpringerBriefs in Mathematical Physics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

Germany