Non-commutative open string and D-brane
Abstract
In this paper we consider the quantization of open strings ending on D-branes with a background B field. We find that space-time coordinates of the open string end-points become noncommutative, and correspondingly the D-brane world-volume also becomes non-commutative. This provides a string theory derivation and generalization of the non-commutativity obtained previously in the M(atrix) model compactification. For D p-branes with p ⩾ 2 our results are new and agree with that of M(atrix) theory for the case of A = 0 (where A is the world-volume gauge field) if the T-duality radii are used.
- Publication:
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Nuclear Physics B
- Pub Date:
- June 1999
- DOI:
- 10.1016/S0550-3213(99)00199-6
- arXiv:
- arXiv:hep-th/9812219
- Bibcode:
- 1999NuPhB.550..151C
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- LaTex, 19 pages. v2: two references added