String theory and noncommutative geometry
Abstract
We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero Bfield. 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 DiracBornInfeld theory with its noncommutative counterpart. We obtain a new perspective on noncommutative gauge theory on a torus, its Tduality, and Morita equivalence. We also discuss the D0/D4 system, the relation to Mtheory in DLCQ, and a possible noncommutative version of the sixdimensional (2,0) theory.
 Publication:

Journal of High Energy Physics
 Pub Date:
 September 1999
 DOI:
 10.1088/11266708/1999/09/032
 arXiv:
 arXiv:hepth/9908142
 Bibcode:
 1999JHEP...09..032S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 100 pages, sorry. Clarifications added, trivial misprints fixed and references added