Poisson-Lie T-Duality and Bianchi Type Algebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, Latex; Some comments to the concluding section added, references added

Scientific paper

10.1016/S0370-2693(99)00571-7

All Bianchi bialgebras have been obtained. By introducing a non-degenerate adjoint invariant inner product over these bialgebras the associated Drinfeld doubles have been constructed, then by calculating the coupling matrices for these bialgebras several sigma-models with Poisson-Lie symmetry have been obtained. Two simple examples as prototypes of Poisson-Lie dual models have been given.

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