QUANTUM INTEGRABILITY OF NON-ULTRALOCAL MODELS THROUGH BAXTERIZATION OF QUANTIZED BRAIDED ALGEBRA

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Abstract
A scheme suitable for describing quantum non-ultralocal models, including supersymmetric ones, is proposed. Braided algebras are generalized to be used through Baxterization for constructing braided quantum Yang—Baxter equations. Supersymmetric and some known non-ultralocal models are derived in the framework of this approach. As further applications of the scheme, the construction of new quantum integrable non-ultralocal models, like mKdV and anyonic supersymmetric models including deformed anyonic superalgebra, is outlined.