Algebra of Lax Connection for T-Dual Models
arXiv:0812.4510 · doi:10.1088/1751-8113/42/28/285401
Abstract
We study relation between T-duality and integrability. We develop the Hamiltonian formalism for principal chiral model on general group manifold and on its T-dual image. We calculate the Poisson bracket of Lax connections in T-dual model and we show that they are non-local as opposite to the Poisson brackets of Lax connection in original model. We demonstrate these calculations on two specific examples: Sigma model on S(2) and sigma model on AdS(2).
24 pages, references added
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