Three-dimensional BF Theories and the Alexander-Conway Invariant of Knots
A. S. Cattaneo, P. Cotta-Ramusino, M. Martellini
TL;DR
This paper explores 3D BF theories and introduces knot-related observables whose quantum expectation values correspond to the coefficients of the Alexander-Conway polynomial, linking quantum field theory with knot invariants.
Contribution
It establishes a novel connection between 3D BF theories and the Alexander-Conway polynomial through the definition of specific knot observables.
Findings
Quantum expectation values yield Alexander-Conway polynomial coefficients
New observables in BF theories relate to knot invariants
Bridges quantum field theory and knot theory
Abstract
We study 3-dimensional BF theories and define observables related to knots and links. The quantum expectation values of these observables give the coefficients of the Alexander-Conway polynomial.
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