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arXiv · hep-th/9411241

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

Gustav W. Delius·Mark D. Gould·Jon R. Links·Yao-Zhong Zhang
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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.

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Gustav W. Delius, Mark D. Gould, Jon R. Links, Yao-Zhong Zhang. 1995-01-04. Solutions of the Yang-Baxter Equation with Extra Non-Additive Parameters II: $U_q(gl(m|n))$}. https://doi.org/10.1088/0305-4470%2F28%2F21%2F023

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