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Algebra of Lax Connection for T-Dual Models.
Autoři | |
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Rok publikování | 2009 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Journal of Physics A: Mathematical and Theoretical |
Fakulta / Pracoviště MU | |
Citace | |
Obor | Teoretická fyzika |
Klíčová slova | Algebra integrability |
Popis | We study the relation between T-duality and integrability. We develop the Hamiltonian formalism for a principal chiral model on general group manifold and on its T-dual image. We calculate the Poisson bracket of Lax connections in the T-dual model and show that they are non-local, which is opposite to the Poisson brackets of the Lax connection in the original model. We demonstrate these calculations on two specific examples: sigma model on S2 and sigma model on AdS2. |
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