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- W2035215751 abstract "Quantum groups play the role of symmetries of integrable theories in two dimensions. They may be detected on the classical level as Poisson-Lie symmetries of the corresponding phase spaces. We discuss specifically the Wess-Zumino-Witten conformally invariant quantum field model combining two chiral parts which describe the left- and right-moving degrees of freedom. On one hand, the quantum group plays the role of the symmetry of the chiral components of the theory. On the other hand, the model admits a lattice regularization (in Minkowski space) in which the current algebra symmetry of the theory also becomes quantum, providing the simplest example of a quantum group symmetry coupling space-time and internal degrees of freedom. We develop a free field approach to the representation theory of the lattice sl (2)-based current algebra and show how to use it to rigorously construct an exact solution of the quantum SL (2) WZW model on lattice." @default.
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- W2035215751 date "1993-06-01" @default.
- W2035215751 modified "2023-10-18" @default.
- W2035215751 title "Lattice Wess-Zumino-Witten model and quantum groups" @default.
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- W2035215751 doi "https://doi.org/10.1016/0393-0440(93)90056-k" @default.
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