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Title: On the classical equivalence of monodromy matrices in squashed sigma model
Authors: Kawaguchi, Io
Matsumoto, Takuya
Yoshida, Kentaroh  kyouindb  KAKEN_id
Author's alias: 川口, 維男
Keywords: Sigma Models
Integrable Field Theories
AdS-CFT Correspondence
Issue Date: Jun-2012
Publisher: Springer-Verlag
Journal title: Journal of High Energy Physics
Volume: 2012
Issue: 6
Thesis number: 82
Abstract: We proceed to study the hybrid integrable structure in two-dimensional non-linear sigma models with target space three-dimensional squashed spheres. A quantum affine algebra and a pair of Yangian algebras are realized in the sigma models and, according to them, there are two descriptions to describe the classical dynamics 1) the trigonometric description and 2) the rational description, respectively. For every description, a Lax pair is constructed and the associated monodromy matrix is also constructed. In this paper we show the gauge-equivalence of the monodromy matrices in the trigonometric and rational description under a certain relation between spectral parameters and the rescalings of sl(2) generators.
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/JHEP06(2012)082
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