Super Yang-Mills Theory as a Twistor Matrix Model

2011/04/13 by Jonathan J. Heckman, Herman Verlinde, Heckman, Jonathan J. +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1104.2605

openalex publication_date 2011/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a covariant finite regulator for N = 4 super Yang-Mills theory on S⁴. 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.

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