Composite link polynomials from super Chern-Simons theory. (English) Zbl 0861.57007
Summary: Using the framework of supersymmetric Witten-Jones theory the composite link polynomials related to the basic classical simple complex Lie superalgebras are computed. The related graded Casimir operators are 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.
MSC:
| 57M25 | Knots and links in the \(3\)-sphere (MSC2010) |
| 17B70 | Graded Lie (super)algebras |
| 57N10 | Topology of general \(3\)-manifolds (MSC2010) |
| 82B23 | Exactly solvable models; Bethe ansatz |
Keywords:
composite knot invariants; Chern-Simons theory; link polynomials; Lie superalgebras; Yang-Baxter equationReferences:
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