Solutions of the Yang-Baxter Equation with Extra Non-Additive Parameters II: $U_q(gl(m|n))$}

Abstract

The type-I quantum superalgebras are known to admit non-trivial one-parameter families of inequivalent finite dimensional irreps, even for generic $q$. We apply the recently developed technique to construct new solutions to the quantum Yang-Baxter equation associated with the one-parameter family of irreps of $U_q(gl(m|n))$, thus obtaining R-matrices which depend not only on a spectral parameter but in addition on further continuous parameters. These extra parameters enter the Yang-Baxter equation in a similar way to the spectral parameter but in a non-additive form.

10 pages, LaTex file (some errors in the Casimirs corrected)

References in corpus (3)

• A New Supersymmetric and Exactly Solvable Model of Correlated Electrons
• Solutions to the Quantum Yang-Baxter Equation with Extra Non-Additive Parameters
• On the Construction of Trigonometric Solutions of the Yang-Baxter Equation

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