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Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model
journal contributionposted on 2023-05-16, 10:39 authored by Gould, MD, Links, JR, Zhang, YZ, Tsohantjis, I
We describe the twisted affine superalgebra sl(2|2)(2) and its quantized version Uq[sl(2|2)(2)]. We investigate the tensor product representation of the four-dimensional grade star representation for the fixed-point subsuperalgebra Uq[osp(2|2)]. We work out the tensor product decomposition explicitly and find that the decomposition is not completely reducible. Associated with this four-dimensional grade star representation we derive two Uq[osp(2|2)] invariant R-matrices: one of them corresponds to Uq[sl(2|2)(2)] and the other to Uq[osp(2|2)(1)]. Using the R-matrix for Uq[sl(2|2)(2)], we construct a new Uq[osp(2|2)] invariant strongly correlated electronic model, which is integrable in one dimension. Interestingly this model reduces in the q = 1 limit, to the one proposed by Essler et al which has a larger sl(2|2) symmetry.
Publication titleJournal of Physics A
Department/SchoolSchool of Natural Sciences
PublisherIOP Publishing Ltd
Place of publicationReading, UK