Abstract

Using the framework of supersymmetric Witten-Jones theory the composite link polynomials related to the basic classical simple complex Lie superalgebras will be computed. The related graded Casimir operators will be given explicitly for arbitrary covariant class I representations. As a consequence of the topological interpretation of link invariants, it is essentially possible to derive the Boltzmann weights of the associated IRF models found previously as solutions of the graded Yang-Baxter equation.

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