String theory and noncommutative geometry View Full Text


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Article Info

DATE

1999-09-30

AUTHORS

Nathan Seiberg, Edward Witten

ABSTRACT

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. More... »

PAGES

032

Identifiers

URI

http://scigraph.springernature.com/pub.10.1088/1126-6708/1999/09/032

DOI

http://dx.doi.org/10.1088/1126-6708/1999/09/032

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1007113443


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