Noncommutative open string and D-brane
Dec, 199817 pages
Published in:
- Nucl.Phys.B 550 (1999) 151-168
e-Print:
- hep-th/9812219 [hep-th]
Report number:
- NEIP-98-022
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Abstract:
In this paper we consider the quantization of open strings ending on D-branes with a background B field. We find that spacetime coordinates of the open string end-points become noncommutative, and correspondingly the D-brane worldvolume also becomes noncommutative. This provides a string theory derivation and generalization of the noncommutativity obtained previously in the Matrix model compactification. For Dp-branes with p>=2 our results are new and agree with that of Matrix theory for the case of A=0 (where is the worldvolume gauge field) if the T-duality radii are used.Note:
- LaTex, 19 pages. v2: two references added; more results added in sec. 4 which extends the agreement with Matrix model for the D2 case (original version) to the general Dp case (v2) for any value of p. v3: further clarifying remarks added in sec. 3 in response to the referee suggestion for clearer presentation; final version to appear in NPB Report-no: NEIP-98-022
- 11.25.Db
- 11.30.Ly
- 11.15.Tk
- D-brane
- String theory in backgrounds
- Non-commutative geometry
- string: open
- membrane model: D-brane
- quantization
- background field
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