D-branes and Deformation Quantization

Details D-branes and Deformation Quantization D-branes and Deformation Quantization

1999-03-24

arxiv.org/abs/hep-th/9903205v1

JHEP 9906 (1999) 030

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex

Scientific paper

10.1088/1126-6708/1999/06/030

In this note we explain how world-volume geometries of D-branes can be reconstructed within the microscopic framework where D-branes are described through boundary conformal field theory. We extract the (non-commutative) world-volume algebras from the operator product expansions of open string vertex operators. For branes in a flat background with constant non-vanishing B-field, the operator products are computed perturbatively to all orders in the field strength. The resulting series coincides with Kontsevich's presentation of the Moyal product. After extending these considerations to fermionic fields we conclude with some remarks on the generalization of our approach to curved backgrounds.

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