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The Non-Compact Quantum Dilogarithm and the Baxter Equations

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Abstract

A review of the recent formulation of the quantum discrete Liouville model in the strongly coupled regime (corresponding to the Virasoro central charge 1<c<25) is presented. The Q-operator, describing the integrable structure of the model and satisfying a pair of dual Baxter equations, is obtained as a certain non-homogeneous transfer-matrix associated with the six-vertex model.

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Kashaev, R.M. The Non-Compact Quantum Dilogarithm and the Baxter Equations. Journal of Statistical Physics 102, 923–936 (2001). https://doi.org/10.1023/A:1004859121464

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