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Title: The classical origin of quantum affine algebra in squashed sigma models
Authors: Kawaguchi, Io
Matsumoto, Takuya
Yoshida, Kentaroh  kyouindb  KAKEN_id
Author's alias: 川口, 維男
Keywords: Integrable Field Theories
Sigma Models
AdS-CFT Correspondence
Issue Date: Apr-2012
Publisher: Springer
Journal title: Journal of High Energy Physics
Volume: 2012
Issue: 4
Thesis number: 115
Abstract: We consider a quantum affine algebra realized in two-dimensional non-linear sigma models with target space three-dimensional squashed sphere. Its affine generators are explicitly constructed and the Poisson brackets are computed. The defining relations of quantum affine algebra in the sense of the Drinfeld first realization are satisfied at classical level. The relation to the Drinfeld second realization is also discussed including higher conserved charges. Finally we comment on a semiclassical limit of quantum affine algebra at quantum level.
Rights: The final publication is available at
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
DOI(Published Version): 10.1007/JHEP04(2012)115
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