Exact Bethe ansatz solution of nonultralocal quantum mKdV model

Details Exact Bethe ansatz solution of nonultralocal quantum mKdV model Exact Bethe ansatz solution of nonultralocal quantum mKdV model

1995-10-18

arxiv.org/abs/hep-th/9510131v1

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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