Abstract
We present a general formula for constructing R-matrices with non-additive spectral parameters associated with a type-I quantum superalgebra. The spectral parameters originate from two one-parameter families of inequivalent finite-dimensional irreducible representations of the quantum superalgebra upon which the R-matrix acts. Applying to the quantum superalgebra Uq(gl(2|1)), we obtain the explicit expression for the Uq(gl(2|1))− invariant R-matrix which is of non-difference form in spectral parameters. Using this R matrix we derive a new two-parameter integrable model of strongly correlated electrons with pure imaginary pair hopping terms.
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ArXiv ePrint: 2001.05096
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Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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Zhang, YZ., Werry, J.L. New R-matrices with non-additive spectral parameters and integrable models of strongly correlated fermions. J. High Energ. Phys. 2020, 141 (2020). https://doi.org/10.1007/JHEP03(2020)141
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DOI: https://doi.org/10.1007/JHEP03(2020)141