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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1142/S0217732302006515

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.

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