Nathan Seiberg and Edward Witten JHEP09(1999)032 doi:10.1088/1126-6708/1999/09/032
String theory and noncommutative geometry
Nathan Seiberg1 and Edward Witten1
Show affiliationsWe 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.
- Keywords
- PACS
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11.25.Sq Nonperturbative techniques; string field theory
- Subjects
- Dates
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Issue 09 ( 1 September 1999)
Received 30 September 1999, accepted for publication 30 September 1999
Published 15 October 1999
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