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Poisson-Lie \(T\)-duality. (English) Zbl 0957.81598
Summary: A description of dual non-Abelian duality is given, based on the notion of the Drinfeld double. The presentation basically follows the original paper [1], written in collaboration with P. Ševera, but here the emphasis is put on the algebraic rather than the geometric aspect of the construction and a concrete example of the Borelian double is worked out in detail.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
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[1] Klimčík, C.; Ševera, P., Phys. lett., B351, 455, (1995)
[2] Buscher, T.H.; Buscher, T.H.; Duff, M.J.; Roček, M.; Verlinde, E.; Giveon, A.; Roček, M.; Kiritsis, E.; Kiritsis, E.; Álvarez, E.; Álvarez-Gaumé, L.; Barbón, J.; Lozano, Y.; Giveon, A.; Rabinovici, E.; Veneziano, G.; Meissner, K.A.; Veneziano, G.; Álvarez, E.; Álvarez-Gaumé, L.; Lozano, Y.; Klimčík, C.; Ševera, P., Phys. lett., Phys. lett., Nucl. phys., Nucl. phys., Nucl. phys., Nucl. phys., Mod. phys. lett., Nucl. phys., Nucl. phys., Phys. lett., Phys. lett., Mod. phys. lett., A10, 323, (1995)
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