THE CLASSICAL EQUIVALENCE OF MONODROMY MATRICES IN SQUASHED SIGMA MODEL

Autor: Takuya Matsumoto, Kentaroh Yoshida, Io Kawaguchi
Rok vydání: 2013
Předmět:
Zdroj: International Journal of Modern Physics: Conference Series. 21:180-181
ISSN: 2010-1945
DOI: 10.1142/s2010194513009707
Popis: We show Yangian and quantum affine symmetries are realized in two-dimensional non-linear sigma models with squashed spheres target spaces. According to these symmetries, there are two descriptions for the classical dynamics. In each description, a Lax pair and the corresponding monodromy matrix are constructed. Both Lax pairs reproduce the same equations of motion and hence they are equivalent. We show the gauge-equivalence by constructing a map between monodromy matrices with the relation of spectral parameters.
Databáze: OpenAIRE