R-Twisting, Fibered Knots, and Gauge Theories

Shi Cheng

R-Twisting, Fibered Knots, and Gauge Theories

High Energy Physics - Theory 2026-07-27 v1

Authors: Shi Cheng

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 \cite{Cecotti:2011iy}. These 3d theories show a supersymmetry enhancement, and are related to 3d rank zero theories.

Keywords

r-twisting seiberg-witten curves argyres-douglas theories mapping tori torus knots 3d gauge theories bps spectrum supersymmetry enhancement

Cite

@article{arxiv.2607.24037,
  title  = {R-Twisting, Fibered Knots, and Gauge Theories},
  author = {Shi Cheng},
  journal= {arXiv preprint arXiv:2607.24037},
  year   = {2026}
}

Comments

26 pages, many figures, few equations