On the classical equivalence of monodromy matrices in squashed sigma model
| Autor: | Kentaroh Yoshida, Takuya Matsumoto, Io Kawaguchi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Quantum affine algebra Pure mathematics Sigma model Integrable system Sigma FOS: Physical sciences Monodromy matrix Mathematical Physics (math-ph) AdS-CFT Correspondence Monodromy High Energy Physics - Theory (hep-th) Lax pair Integrable Field Theories Yangian Mathematical Physics Sigma Models |
| Popis: | 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. 32pages, 3figures, references added, introduction and discussion sections revised |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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