Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-10-18
Mod.Phys.Lett. A10 (1995) 2955-2966
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, latex, no figures
Scientific paper
10.1142/S0217732395003094
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-$\ha$ XXZ chain is established, facilitating the investigation of the corresponding conformal properties.
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