PreprintThe Bound State \(S\)matrix of the Deformed Hubbard ChainMarius de Leeuw, Takuya Matsumoto, Vidas RegelskisAbstractIn this work we use the qoscillator formalism to construct the atypical (short) supersymmetric representations of the centrally extended \(\mathcal{U}_q(\mathfrak{su}(22))\) algebra. We then determine the Smatrix describing the scattering of arbitrary bound states. The crucial ingredient in this derivation is the affine extension of the aforementioned algebra. Keywords: Quantum affine algebra, \(q\)oscillator formalism, Hubbard Chain, \(S\)matrix, AdS/CFT correspondence.
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