Afline q-deformed symmetry and the classical Yang-Baxter sigma-model

作者：Delduc F^*; Kameyama T; Magro M; Vicedo B

来源：The Journal of High Energy Physics, 2017, 2017(3): 126.

DOI：10.1007/JHEP03(2017)126

• Integrable Field Theories
• Sigma Models

The Yang-Baxter sigma-model is an integrable deformation of the principal chiral model on a Lie group G. The deformation breaks the G x G symmetry to U(1)(rank(G)) x G. It is known that there exist non-local conserved charges which, together with the unbroken U(1)(rank(G)) local charges, form a Poisson algebra A(g), which is the semiclassical limit of the quantum group U-q(g), with g the Lie algebra of G. For a general Lie group G with rank(G) > 1, we extend the previous result by constructing local and non-local conserved charges satisfying all the defining relations of the infinite-dimensional Poisson algebra Uq(L-g), the classical analogue of the quantum loop algebra U-q(Lg), where Lg is the loop algebra of g. Quite unexpectedly, these defining relations are proved without encountering any ambiguity related to the non-ultralocality of this integrable sigma-model.

• 出版日期2017-3-23