Duality properties of the SU(2) Principal Chiral Model are investigated
starting from a one-parameter family of its equivalent Hamiltonian descriptions
generated by a non-Abelian deformation of the cotangent space TβSU(2)βSU(2)βR3. The corresponding dual models are obtained through
O(3,3) duality transformations and result to be defined on the group
SB(2,C), which is the Poisson-Lie dual of SU(2) in the Iwasawa
decomposition of the Drinfel'd double SL(2,C)=SU(2)βSB(2,C).These dual models provide an explicit realization of
Poisson-Lie T-duality. A doubled generalized parent action is then built on the
tangent space TSL(2,C). Furthermore, a generalization of the SU(2)
PCM with a WZ term is shortly discussed.Comment: 25 pages, Contribution to the Proceedings of Corfu Summer Institute
2019 "Schools and Workshops on Elementary Particle Physics and Gravity