The origin of noncommutativity?

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.

Revtex4, published version

References in corpus (1)

• Unconstrained Variables of Non-Commutative Open Strings

Cited by in corpus (5)

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• Running of the Spectral Index in Noncommutative Inflation
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• Fermionic anticommutators for open superstrings in the presence of antisymmetric tensor field