The origin of noncommutativity?

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Revtex4, published version

Scientific paper

10.1016/S0370-2693(02)01567-8

Consistent boundary Poisson structures for open string theory coupled to background $B$-field are considered using the new approach proposed in hep-th/0111005. It is found that there are infinitely many consistent Poisson structures, each leads to a consistent canonical quantization of open string in the presence of background $B$-field. Consequently, whether the $D$-branes to which the open string end points are attached is noncommutative or not depends on the choice of a particular Poisson structure.

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