Deformed integrable $\sigma$-models, classical $R$-matrices and classical exchange algebra on Drinfel'd doubles
| Autor: | Benoit Vicedo |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Statistics and Probability
Physics High Energy Physics - Theory Integrable system Exchange algebra General Physics and Astronomy Sigma Statistical and Nonlinear Physics Type (model theory) High Energy Physics::Theory Hamiltonian formalism Modeling and Simulation Mathematical Physics Mathematical physics |
| Popis: | We describe a unifying framework for the systematic construction of integrable deformations of integrable $\sigma$-models within the Hamiltonian formalism. It applies equally to both the `Yang-Baxter' type as well as `gauged WZW' type deformations which were considered recently in the literature. As a byproduct, these two families of integrable deformations are shown to be Poisson-Lie T-dual of one another. Comment: 33 pages, 4 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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