English

Noncommutative Yang-Mills in IIB Matrix Model

High Energy Physics - Theory 2009-10-31 v2

Abstract

We show that twisted reduced models can be interpreted as noncommutative Yang-Mills theory. Based upon this correspondence, we obtain noncommutative Yang-Mills theory with D-brane backgrounds in IIB matrix model. We propose that IIB matrix model with D-brane backgrounds serve as a concrete definition of noncommutative Yang-Mills. We investigate D-instanton solutions as local excitations on D3-branes. When instantons overlap, their interaction can be well described in gauge theory and AdS/CFT correspondence. We show that IIB matrix model gives us the consistent potential with IIB supergravity when they are well separated.

Keywords

Cite

@article{arxiv.hep-th/9908141,
  title  = {Noncommutative Yang-Mills in IIB Matrix Model},
  author = {H. Aoki and N. Ishibashi and S. Iso and H. Kawai and Y. Kitazawa and T. Tada},
  journal= {arXiv preprint arXiv:hep-th/9908141},
  year   = {2009}
}

Comments

21pages, LaTeX, no figures, typos corrected

R2 v1 2026-07-22T16:16:57.496Z