Instanton-torus knot duality in 5d SQED and $SU(2)$ SQCD
A. Gorsky
TL;DR
This paper reviews the instanton-torus knot duality in 5d supersymmetric gauge theories, highlighting how fermion condensates generate torus knot polynomials, revealing deep connections between gauge theory and knot invariants.
Contribution
It introduces a duality linking instanton effects in 5d SUSY gauge theories to torus knot polynomials, expanding understanding of gauge-knot correspondences.
Findings
Fermion condensates serve as generating functions for torus knot polynomials.
The duality applies to 5d SUSY gauge theories with one compact dimension.
The work connects gauge theory phenomena with mathematical knot invariants.
Abstract
We briefly review the instanton-torus knot duality found in 5d SUSY gauge theories with one compact dimension. The fermion condensate turn out to be the generating function for the torus knot polynomials colored by the fundamental representation.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Geometric and Algebraic Topology · Quantum Chromodynamics and Particle Interactions