R-Twisting, Fibered Knots, and Gauge Theories

2026/07/27 by Shi Cheng
#hep-th

paper · pdf

Abstract

We argue that R-twisting implies the Seiberg-Witten curves of 4d Argyres-Douglas theories could be combined with the R-twisted circle to form the mapping tori of torus knots, inspired by Milnor fibration theorem. Then 3d gauge theories labeled by mapping tori are generated, which in the IR capture 4d BPS spectrum and mutations. This construction addresses the boundary problem of the domain wall approach in \citeCecotti:2011iy. These 3d theories show a supersymmetry enhancement, and are related to 3d rank zero theories.

Citations

• Fusions and Dualities for 3d Theories T[M₃]
• On the 4d/3d/2d view of the SCFT/VOA correspondence
• Three-Dimensional Topological Field Theories and Non-Unitary Minimal Models
• BPS spectra and 3-manifold invariants
• An Introduction to Geometric Topology
• Fivebranes and 4-manifolds
• RG Domain Walls and Hybrid Triangulations
• Tangles, Generalized Reidemeister Moves, and Three-Dimensional Mirror\n Symmetry
• N=2 Quantum Field Theories and Their BPS Quivers
• Gauge Theories Labelled by Three-Manifolds
• R-Twisting and 4d/2d Correspondences
• BPS Wall Crossing and Topological Strings

Related

• 3D TFTs from 4d \cal N=2 BPS Particles
• Braids, Walls, and Mirrors
• 3d SUSY enhancement and non-semisimple TQFTs from four dimensions
• RG Domain Walls and Hybrid Triangulations
• R-Twisting and 4d/2d Correspondences