Reduced qKZ equation: general case

Abstract

We use the quantum group approach for the investigation of correlation functions of integrable vertex models and spin chains. For the inhomogeneous reduced density matrix in case of an arbitrary simple Lie algebra we find functional equations of the form of the reduced quantum Knizhnik-Zamolodchikov equation. This equation is the starting point for the investigation of correlation functions at arbitrary temperature and notably for the ground state.

30 pages, 47 figures, a few misprints corected

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• Hidden Grassmann structure in the XXZ model
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• Hidden Grassmann Structure in the XXZ Model III: Introducing Matsubara direction
• The Baxter's Q-operator for the W-algebra $W_N$
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Cited by in corpus (6)

• Correlation functions of integrable $O(n)$ spin chains
• Quantum groups and functional relations for arbitrary rank
• Density matrices in integrable face models
• $\ell$-weights and factorization of transfer operators
• Khoroshkin-Tolstoy approach for quantum superalgebras
• On the properties of the density matrix of the ${\mathfrak{sl}}_{n+1}$-invariant model