INVESTIGADORES
MONTANI Hugo Santos
artículos
Título:
Integrable systems and Poisson-Lie T-duality: A finite dimensional example
Autor/es:
SANTIAGO CAPRIOTTI; HUGO MONTANI
Revista:
JOURNAL OF GEOMETRY AND PHYSICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Año: 2010 vol. 60 p. 1509 - 1529
ISSN:
0393-0440
Resumen:
We study the deep connection between integrable models and Poisson Lie T -dualityworking on a finite dimensional example constructed on SL(2,C), and its Iwasawa factorsSU(2) and B. We shown the way in which the Adler-Kostant-Symes theory and collectivedynamics combine to solve the equivalent systems by solving the factorization problem ofan exponential curve in SL(2,C). It is shown that the Toda system embraces the dynamicsof the systems on SU(2) and B.