Assembling integrable σ-models as affine Gaudin models

A bstract We explain how to obtain new classical integrable field theories by assembling two affine Gaudin models into a single one. We show that the resulting affine Gaudin model depends on a parameter γ in such a way that the limit γ → 0 corresponds to the decoupling limit. Simple conditions ensur...

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Published in:The journal of high energy physics 2019-06, Vol.2019 (6), p.1-88, Article 17
Main Authors: Delduc, F., Lacroix, S., Magro, M., Vicedo, B.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Decoupling
Deformation mechanisms
Elementary Particles
High energy physics
High Energy Physics - Theory
Integrable Field Theories
Lie groups
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Sigma Models
String Theory
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cited_by cdi_FETCH-LOGICAL-c497t-a801ed7a05987bb8a0a5cbfa14cfbf5d865bda7070c6d4461686728e531712ae3
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description A bstract We explain how to obtain new classical integrable field theories by assembling two affine Gaudin models into a single one. We show that the resulting affine Gaudin model depends on a parameter γ in such a way that the limit γ → 0 corresponds to the decoupling limit. Simple conditions ensuring Lorentz invariance are also presented. A first application of this method for σ -models leads to the action announced in [ 1 ] and which couples an arbitrary number N of principal chiral model fields on the same Lie group, each with a Wess-Zumino term. The affine Gaudin model descriptions of various integrable σ -models that can be used as elementary building blocks in the assembling construction are then given. This is in particular used in a second application of the method which consists in assembling N − 1 copies of the principal chiral model each with a Wess-Zumino term and one homogeneous Yang-Baxter deformation of the principal chiral model.
doi_str_mv 10.1007/JHEP06(2019)017
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subjects Classical and Quantum Gravitation
Decoupling
Deformation mechanisms
Elementary Particles
High energy physics
High Energy Physics - Theory
Integrable Field Theories
Lie groups
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Sigma Models
String Theory
title Assembling integrable σ-models as affine Gaudin models
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