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

J.Phys. A28 (1995) 6203-6210 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 wit...

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Bibliographic Details
Main Authors Delius, Gustav W, Gould, Mark D, Links, Jon R, Zhang, Yao-Zhong
Format Journal Article
LanguageEnglish
Published 01.12.1994
Subjects
Mathematics - Quantum Algebra
Physics - High Energy Physics - Theory
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Summary:J.Phys. A28 (1995) 6203-6210 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.
Bibliography:King's College London and University of Queensland preprint, KCL-TH-94-20, UQMATH-94-10
DOI:10.48550/arxiv.hep-th/9411241