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String theory and noncommutative geometry
Open accessAbstract
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.
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Cited by
Modern Tests of Lorentz Invariance
Mattingly, D. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-5 · Cited by 1,061
Noncommutative Field Theory and Lorentz Violation
Carroll, S. M., Harvey, J. A., Kostelecký, V. A., Lane, C. D., & Okamoto, T. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.141601 · Cited by 991
Cosmology and Fundamental Physics with the Euclid Satellite
The Euclid Theory Working Group, Amendola, L., Appleby, S., Bacon, D., Baker, T., Baldi, M., Bartolo, N., Blanchard, A., Bonvin, C., Borgani, S., et al. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-6 · Cited by 899
Quantum gravity: a progress report
Carlip, S. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/8/301 · Cited by 449
Lorentz Invariance and Quantum Gravity: An Additional Fine-Tuning Problem?
Collins, J., Perez, A., Sudarsky, D., Urrutia, L., & Vucetich, H. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.191301 · Cited by 312
Metadata
- Authors
- Seiberg, N., & Witten, E.
- Venue
- Journal of High Energy Physics
- Published
- 1999-09-30
- Volume
- 1999
- Issue
- 09
- Pages
- 032-032
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W1968388660
- Cited by
- 3,712
- References
- 0
- FWCI
- 198.59
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Seiberg, N., & Witten, E. (1999). String theory and noncommutative geometry. Journal of High Energy Physics. https://doi.org/10.1088/1126-6708/1999/09/032
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