On quantization of affine Jacobi varieties of spectral curves

F. A. Smirnov (1) , V. Zeitlin (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

A quantum integrable model related to $U_q(\hat{sl}(N))$ is considered. A reduced model is introduced which allows interpretation in terms of quantized affine Jacobi variety. Closed commutation relations for observables of reduced model are found.

Domaines: Physique mathématique [math-ph]

F. A. Smirnov, V. Zeitlin. On quantization of affine Jacobi varieties of spectral curves. 2001. ⟨hal-00119171⟩