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New R-matrices with non-additive spectral parameters and integrable models of strongly correlated fermions

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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… Click to show full 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 U q ( gl (2|1)), we obtain the explicit expression for the U q ( 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.

Keywords: quantum superalgebra; non additive; strongly correlated; matrices non; spectral parameters; additive spectral

Journal Title: Journal of High Energy Physics
Year Published: 2020

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