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The origin of noncommutativity?

Wenli He·Liu Zhao
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Abstract

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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Wenli He, Liu Zhao. 2002-09-05. The origin of noncommutativity?. https://doi.org/10.1016/s0370-2693(02)01567-8

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