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Three Dimensional Chern-Simons Theory as a Theory of Knots and Links III : Compact Semi-simple Group

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arxiv hep-th/9212110 v1 pith:3VTJAIH6 submitted 1992-12-18 hep-th

P. Rama Devi , T.R. Govindarajan , R.K. Kaul This is my paper · ORCID
classification hep-th
keywords theorychern-simonslinkscompactgroupknotsthreebraids
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abstract

Chern-Simons field theory based on a compact non-abelian gauge group is studied as a theory of knots and links in three dimensions. A method to obtain the invariants for links made from braids of upto four strands is developed. This generalizes our earlier work on $SU(2)$ Chern-Simons theory.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 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.

  2. A TQFT-based Platform for Efficient Computation of Knot Invariants

    math.GT 2026-07 conditional novelty 5.0 of 10

    A web platform evaluates Chern–Simons invariants of arborescent knots from Feynman ribbon diagrams and claims two-vertex FRDs classify all FRD-like knots through 10 crossings.

  3. $q$-Series Invariants of Three-Manifolds and Knots-Quivers Correspondence

    math-ph 2024-12 conditional novelty 4.0 of 10

    Z-hat three-manifold invariants are shown to depend only on the Lie algebra, and a quiver matrix block structure is conjectured for double twist knots.

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