integrable sigma models with poisson structure

At this paper we will introduce a new two dimensional non-linear sigma model with a bi-vector onits space time. then by using of the lax formulation,we get the conditions that integrability imposes ontarget space. as an example we write this model on hiesenberg lie group and show it can be considered asgeneralised wzw model. finally we chech the conformal invariance of the model up to one-loop.