String theory and noncommutative geometry

Nathan Seiberg, Edward Witten

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3339 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)XLII-92
JournalJournal of High Energy Physics
Issue number9
StatePublished - 1999
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Bosonic strings
  • D-branes
  • Gauge symmetry
  • Space-time symmetries


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