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arXiv · hep-th/9911140

Canonical Quantization of Open String and Noncommutative Geometry

Taejin Lee
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Abstract

We perform canonical quantization of open strings in the $D$-brane background with a $B$-field. Treating the mixed boundary condition as a primary constraint, we get a set of secondary constraints. Then these constraints are shown to be equivalent to orbifold conditions to be imposed on normal string modes. These orbifold conditions are a generalization of the familiar orbifold conditions which arise when we describe open strings in terms of closed strings. Solving the constraints explicitly, we obtain a simple Hamiltonian for the open string, which reveals the nature of noncommutativity transparently.

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Taejin Lee. 1999-12-21. Canonical Quantization of Open String and Noncommutative Geometry. https://doi.org/10.1103/physrevd.62.024022

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