Exact Bethe ansatz solution of nonultralocal quantum mKdV model
Abstract
A lattice regularized Lax operator for the nonultralocal modified Korteweg de Vries (mKdV) equation is proposed at the quantum level with the basic operators satisfying a q-deformed braided algebra. Finding further the associated quantum R and Z-matrices the exact integrability of the model is proved through the braided quantum Yang--Baxter equation, a suitably generalized equation for the nonultralocal models. Using the algebraic Bethe ansatz the eigenvalue problem of the quantum mKdV model is exactly solved and its connection with the spin- XXZ chain is established, facilitating the investigation of the corresponding conformal properties.
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