English

Super Yang-Mills Theory as a Twistor Matrix Model

High Energy Physics - Theory 2011-04-15 v1

Abstract

We introduce a covariant finite regulator for N = 4 super Yang-Mills theory on S^4. Our formulation is based on holomorphic Chern-Simons theory on twistor space. By switching on a large background flux, the twistor space dissolves into a fuzzy geometry, with a finite number of points. The large N continuum limit of the matrix model naturally approaches ordinary N = 4 SYM. We comment on the relation between our model and the 4D quantum Hall effect.

Keywords

Cite

@article{arxiv.1104.2605,
  title  = {Super Yang-Mills Theory as a Twistor Matrix Model},
  author = {Jonathan J. Heckman and Herman Verlinde},
  journal= {arXiv preprint arXiv:1104.2605},
  year   = {2011}
}

Comments

4 pages

R2 v1 2026-06-21T17:53:44.873Z