Algebra of Lax Connection for T-Dual Models.
| Authors | |
|---|---|
| Year of publication | 2009 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Physics A: Mathematical and Theoretical |
| MU Faculty or unit | |
| Citation | |
| Field | Theoretical physics |
| Keywords | Algebra integrability |
| Description | 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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