Minimal Models of Integrable Lattice Theory and Truncated Functional Equations

Abstract

We consider the integrable XXZ model with the special open boundary conditions. We perform Quantum Group reduction of this model in roots of unity and use it for the definition Minimal Models of Interable lattice theory. It is shown that after this Quantum Group reduction Sklyanin's transfer-matrices satisfy the closed system of the truncated functional relations. We solve these equations for the simplest case.

9 pages, LaTeX, corrected some typos, added some references

Cited by in corpus (9)

• Functional relations and Bethe Ansatz for the XXZ chain
• Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity
• The Importance of being Odd
• Non-analytic behavior of the Loschmidt echo in XXZ spin chains: exact results
• Ground State of the Quantum Symmetric Finite Size XXZ Spin Chain with Anisotropy Parameter $\Delta =1/2$
• Finite Size XXZ Spin Chain with Anisotropy Parameter $\Delta =1/2$
• Correspondence between the XXZ model in roots of unity and the one-dimensional quantum Ising chain with different boundary conditions
• On Baxter's Q operator of the higher spin XXZ chain at the Razumov-Stroganov point
• Center of quantum group in roots of unity and the restriction of integrable models