Noncommutative 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 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 $A$ is the worldvolume gauge field) if the T-duality radii are used.

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

References in corpus (1)

• Space-Time Uncertainty Principle and Conformal Symmetry in D-Particle Dynamics

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