DMCA
String theory and noncommutative geometry (1999)
| Venue: | JHEP |
| Citations: | 791 - 8 self |
BibTeX
@ARTICLE{Seiberg99stringtheory,
author = {Nathan Seiberg and Edward Witten},
title = {String theory and noncommutative geometry},
journal = {JHEP},
year = {1999},
pages = {032--9908142}
}
Share
 |
 |
 |
 |
||
OpenURL
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. 8/99
Keyphrases
noncommutative geometry nonzero b-field noncommutative space morita equivalence new perspective noncommutative gauge theory ordinary gauge field gauge theory noncommutative counterpart noncommutative gauge field d0 d4 system entire string dynamic ordinary dirac-born-infeld theory possible noncommutative version
