• DOI:10.1088/1126-6708/1999/09/032
• Corpus ID: 668885

String theory and noncommutative geometry

@article{Seiberg1999StringTA,
  title={String theory and noncommutative geometry},
  author={Nathan Seiberg and Edward Witten},
  journal={Journal of High Energy Physics},
  year={1999},
  volume={1999},
  pages={032-032}
}

• N. Seiberg, E. Witten
• Published 20 August 1999
• Mathematics, Physics
• Journal of High Energy Physics

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from this limit. Our analysis leads us to an equivalence between ordinary gauge fields and noncommutative gauge fields, which is realized by a change of variables that can be described explicitly. This change of variables is checked by comparing the ordinary Dirac-Born-Infeld theory with its noncommutative counterpart. We obtain a new perspective on noncommutative gauge theory on a torus, its T-duality, and Morita equivalence. We also discuss the D0/D4 system, the relation to M-theory in DLCQ, and a possible noncommutative version of the six-dimensional (2,0) theory.