Poisson-Lie T-Duality and Integrable Systems

H. MONTANI

REVISTA DE LA UNIóN MATEMáTICA ARGENTINA

UNION MATEMATICA ARGENTINA

Lugar: Bahía Blanca; Año: 2008 vol. 49 p. 71 - 82

0041-6932

We describe a hamiltonian approach to Poisson-Lie T-duality based on thegeometry of the underlying phases spaces of the dual sigma and WZW models.Duality is fully characterized by the existence of a hamiltonian action of aDrinfeld double Lie group on the cotangent bundle of its factors and theassociated equivariant momentum maps. The duality transformations areexplicitly constructed in terms of these actions. It is shown that compatibleintegrable dynamics arise in a general collective form.