Corpus ID: 12404036

New M(atrix)-models for Commutative and Noncommutative Gauge Theories

  title={New M(atrix)-models for Commutative and Noncommutative Gauge Theories},
  author={Ori J. Ganor},
  journal={arXiv: High Energy Physics - Theory},
  • O. Ganor
  • Published 18 October 2000
  • Physics
  • arXiv: High Energy Physics - Theory
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 $\sigma$-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… Expand
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