| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10725126 | Physics Letters B | 2011 | 4 Pages |
Abstract
We show that SU(2)L Yangian and q-deformed SU(2)R symmetries are realized in a two-dimensional sigma model defined on a three-dimensional squashed sphere. These symmetries enable us to develop the two descriptions to describe its classical dynamics, 1) rational and 2) trigonometric descriptions. The former 1) is based on the SU(2)L symmetry and the latter 2) comes from the broken SU(2)R symmetry. Each of the Lax pairs constructed in both ways leads to the same equations of motion. The two descriptions are related to one another through a non-local map.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
Io Kawaguchi, Kentaroh Yoshida,