2000/10/18 by Ori Ganor, Ori J. Ganor, Ganor, Ori J.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0010143
24pp LaTeX
arxiv created 2000/10/18 · openalex publication_date 2000/10/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a M(atrix) model for N=4 SU(k) Super-Yang-Mills theory compactified on T4. In this model it is possible to make T4 noncommutative and it is easy to turn on all 6 components of the noncommutativity on T4. The action of S-duality on the noncommutativity parameters is also manifest. The M(atrix)-model is given by the large N limit of a σ-model on T2 whose target space is the moduli space of k SU(N) instantons on T3× R. We also propose that the SU(k) 2+1D Spin(8) theory (the low-energy description of k M2-branes) on T3 corresponds to the large N limit of an integral over the latter instanton moduli space. The identification is based on the fact that Euclidean wrapped M2-branes in toroidally compactified M-theory correspond to instantons in the M(atrix)-model. In the new M(atrix) models, operators with nonzero momentum along T3 (or T4) correspond to insertions of Wilson lines along a 1-cycle that is determined by the momentum. Momentum is conserved in the large N limit.