On the classical equivalence of monodromy matrices in squashed sigma model

Details On the classical equivalence of monodromy matrices in squashed sigma model On the classical equivalence of monodromy matrices in squashed sigma model

2012-03-15

arxiv.org/abs/1203.3400v1

Physics

High Energy Physics

High Energy Physics - Theory

32pages, 3figures

Scientific paper

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.

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