Introduction to Yangian symmetry in integrable field theory

Niall MacKay

doi:10.1142/S0217751X05022317

Introduction to Yangian symmetry in integrable field theory

Niall MacKay

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

An introduction to Yangians and their representations, to Yangian symmetry in 1+1D integrable (bulk) field theory, and to the effect of a boundary on this symmetry.

Original language	English
Pages (from-to)	7189-7217
Number of pages	29
Journal	International Journal of Modern Physics A
Volume	20
Issue number	30
DOIs	https://doi.org/10.1142/S0217751X05022317
Publication status	Published - 10 Dec 2005

Keywords

quantum groups
integrable models
INVERSE SCATTERING METHOD
PRINCIPAL CHIRAL MODEL
NONLINEAR SIGMA-MODELS
FACTORIZED S-MATRICES
SIMPLE LIE-GROUPS
NONLOCAL CHARGES
BAXTER EQUATION
BOUNDARY-CONDITIONS
BETHE-ANSATZ
WZW MODELS

Access to Document

10.1142/S0217751X05022317

http://arxiv.org/abs/hep-th/0409183

Cite this

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title = "Introduction to Yangian symmetry in integrable field theory",

abstract = "An introduction to Yangians and their representations, to Yangian symmetry in 1+1D integrable (bulk) field theory, and to the effect of a boundary on this symmetry.",

keywords = "quantum groups, integrable models, INVERSE SCATTERING METHOD, PRINCIPAL CHIRAL MODEL, NONLINEAR SIGMA-MODELS, FACTORIZED S-MATRICES, SIMPLE LIE-GROUPS, NONLOCAL CHARGES, BAXTER EQUATION, BOUNDARY-CONDITIONS, BETHE-ANSATZ, WZW MODELS",

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KW - quantum groups

KW - integrable models

KW - INVERSE SCATTERING METHOD

KW - PRINCIPAL CHIRAL MODEL

KW - NONLINEAR SIGMA-MODELS

KW - FACTORIZED S-MATRICES

KW - SIMPLE LIE-GROUPS

KW - NONLOCAL CHARGES

KW - BAXTER EQUATION

KW - BOUNDARY-CONDITIONS

KW - BETHE-ANSATZ

KW - WZW MODELS

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DO - 10.1142/S0217751X05022317

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JF - International Journal of Modern Physics A

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