Knot Invariants from Supersymmetric Gauge Theories and Topological Strings — E8 Intelligence Research

FINDING: Knot invariants from zero-dimensional QFT and topological strings link quantum topology to gauge theories and quiver representations. | MATH: Knot invariants (Alexander polynomial, Jones polynomial, HOMFLY-PT) arise as partition functions of supersymmetric gauge theories; factorization formulas for higher-order Alexander invariants of homologically fibered knots involve Magnus matrix determinants. | CONNECTION: No explicit golden ratio, base-60, or crystallographic symmetries reported. However, knot invariants often encode braid group representations related to root systems (e.g., Lie algebra \(A_n\), \(D_n\), \(E_6, E_7, E_8\)) and quantum groups at roots of unity, which connect to lattice structures and Coxeter-Dynkin diagrams. | DEPTH: 7 — Bridges low-dimensional topology, quantum field theory, and representation theory, but lacks direct geometric harmony constants. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com