Classification of Poisson-Lie T-dual models with two-dimensional targets

Abstract

Four-dimensional Manin triples and Drinfeld doubles are classified and corresponding two-dimensional Poisson-Lie T-dual sigma models on them are constructed. The simplest example of a Drinfeld double allowing decomposition into two nontrivially different Manin triples is presented.

6 pages, LaTeX; correction: two Manin triples originally considered separately are shown to lead to the same Drinfeld double