Cabled Wilson Loops in BF Theories

Abstract

A generating function for cabled Wilson loops in three-dimensional BF theories is defined, and a careful study of its behavior for vanishing cosmological constant is performed. This allows an exhaustive description of the unframed knot invariants coming from the pure BF theory based on SU(2), and in particular, it proves a conjecture relating them to the Alexander-Conway polynomial.

30 pages, LaTeX

References in corpus (3)

• Topological BF Theories in 3 and 4 Dimensions
• Higher Order Terms in the Melvin-Morton Expansion of the Colored Jones Polynomial
• The Donaldson-Witten Invariants in Pure QCD with Order and Disorder 't Hooft-like Operators

Cited by in corpus (8)

• Lectures on AKSZ Sigma Models for Physicists
• Loop and Path Spaces and Four-Dimensional BF Theories: Connections, Holonomies and Observables
• Knot Invariants and New Weight Systems from General 3D TFTs
• Abelian BF Theories and Knot Invariants
• Loop observables for BF theories in any dimension and the cohomology of knots
• Perturbative BF theory
• On Chern-Simons theory with an inhomogeneous gauge group and BF theory knot invariants
• BRST Symmetries for the Tangent Gauge Group