Lax Operator for the Quantised Orthosymplectic Superalgebra Uq[osp(m|n)] |
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Authors: | K A Dancer M D Gould and J Links |
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Institution: | (1) Centre for Mathematical Physics, School of Physical Sciences, The University of Queensland, Brisbane, 4072, Australia |
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Abstract: | Representations of quantum superalgebras provide a natural framework in which to model supersymmetric quantum systems. Each
quantum superalgebra, belonging to the class of quasi-triangular Hopf superalgebras, contains a universal R-matrix which automatically satisfies the Yang–Baxter equation. Applying the vector representation π, which acts on the vector module V, to the left-hand side of a universal R-matrix gives a Lax operator. In this article a Lax operator is constructed for the quantised orthosymplectic superalgebras
U
q
osp(m|n)] for all m > 2, n ≥ 0 where n is even. This can then be used to find a solution to the Yang–Baxter equation acting on V ⊗ V ⊗ W, where W is an arbitrary U
q
osp(m|n)] module. The case W = V is studied as an example.
Presented by A. Verschoren. |
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Keywords: | Yang– Baxter equation Lax operator Quantised orthosymplectic superalgebras |
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