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 (8)

• String Theory and Noncommutative Geometry
• Noncommutative Open String and D-brane
• D-branes and Deformation Quantization
• Noncommutative Geometry From Strings and Branes
• Constrained Quantization of Open String in Background B Field and Noncommutative D-brane
• Dirac Quantization of Open Strings and Noncommutativity in Branes
• Noncommutative open strings from Dirac quantization
• Unconstrained Variables of Non-Commutative Open Strings

Cited by in corpus (5)

• The $AdS$ particle
• Running of the Spectral Index in Noncommutative Inflation
• Comment on "Constraint Quantization of Open String in Background B field and Noncommutative D-brane"
• Classical O(N) nonlinear sigma model on the half line: a study on consistent Hamiltonian description
• Fermionic anticommutators for open superstrings in the presence of antisymmetric tensor field