HET Brown Bag Seminar | Detecting knot topology from Chern-Simons theory

The topological knot invariants can be studied in the context of Chern-Simons theory both in the non-perturbative and the perturbative regimes. In the former case polynomial knot invariants can be obtained while in the latter case the so called Vassiliev knot invariants arise. Recent work in the non-perturbative regime has been done with the incorporation of entanglement entropy computations associated with knot states, while in the perturbative regime the Vassiliev invariants have been extended to include information of a vector field in the theory.