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 is the worldvolume gauge field) if the T-duality radii are used.
Keywords
Cite
@article{arxiv.hep-th/9812219,
title = {Noncommutative Open String and D-brane},
author = {Chong-Sun Chu and Pei-Ming Ho},
journal= {arXiv preprint arXiv:hep-th/9812219},
year = {2009}
}
Comments
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