Hybrid classical integrability in squashed sigma models

• DOI: 10.1016/j.physletb.2011.09.117
• Publication Date: 2011-10-12T07:12:41Z
• Authors: Io Kawaguchi; Kentaroh Yoshida
• Keywords: Yangian; Sigma; Sigma model

We show that SU(2)_L Yangian and q-deformed SU(2)_R symmetries are realized in a two-dimensional sigma model defined on three-dimensional squashed sphere. These enable us to develop the two descriptions describe its classical dynamics, 1) rational 2) trigonometric descriptions. The former is based symmetry latter comes from broken symmetry. Each of Lax pairs constructed both ways leads same equations motion. related one another through non-local map.