Knot invariants from rational conformal field theories

P. Ramadevi; R.K. Kaul; T.R. Govindarajan

Knot invariants from rational conformal field theories

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arxiv hep-th/9312215 v1 pith:JEBR6XI5 submitted 1994-01-02 hep-th

P. Ramadevi , T.R. Govindarajan , R.K. Kaul This is my paper · ORCID

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keywords modelsinvariantsknotchern-simonsconformalfieldlinkrational

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abstract

A framework for studying knot and link invariants from any rational conformal field theory is developed. In particular, minimal models, superconformal models and $W_N$ models are studied. The invariants are related to the invariants obtained from the Wess-Zumino models associated with the coset representations of these models. Possible Chern-Simons representation of these models is also indicated. This generalises the earlier work on knot and link invariants from Chern-Simons theories.

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Construction of Lie algebra weight system kernel via Vogel algebra
math.QA 2024-11 conditional novelty 6.0 of 10

Using Vogel's Lambda algebra, the authors construct and explicitly list the first Jacobi diagrams in the kernel of the sl_n weight system, up to order 10 for primitive diagrams.

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