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arXiv · 0812.4510

Algebra of Lax Connection for T-Dual Models

J. Kluson
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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).

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J. Kluson. 2008-12-30. Algebra of Lax Connection for T-Dual Models. https://doi.org/10.1088/1751-8113%2F42%2F28%2F285401

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