Algebra of Lax Connection for T-Dual Models.

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F09%3A00037634" target="_blank" >RIV/00216224:14310/09:00037634 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
čeština
Original language name
Algebra of Lax Connection for T-Dual Models.
Original language 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.
Czech name
Algebra of Lax Connection for T-Dual Models.
Czech 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.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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