New M(atrix)-models for Commutative and Noncommutative Gauge Theories
| dc.creator | Ganor, Ori J. | |
| dc.date | 2000-10-18 | |
| dc.date.accessioned | 2026-07-07T04:10:44Z | |
| dc.date.available | 2026-07-07T04:10:44Z | |
| dc.description | We propose a M(atrix) model for N=4 $SU(k)$ Super-Yang-Mills theory compactified on $T^4$. In this model it is possible to make $T^4$ noncommutative and it is easy to turn on all 6 components of the noncommutativity on $T^4$. 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 $T^2$ whose target space is the moduli space of $k$ SU(N) instantons on $T^3\times R$. We also propose that the $SU(k)$ 2+1D $Spin(8)$ theory (the low-energy description of $k$ M2-branes) on $T^3$ 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 $T^3$ (or $T^4$) correspond to insertions of Wilson lines along a 1-cycle that is determined by the momentum. Momentum is conserved in the large $N$ limit. | |
| dc.description | 24pp LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/0010143 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0010143 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50315 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | New M(atrix)-models for Commutative and Noncommutative Gauge Theories | |
| dc.type | text |