D-branes and deformation quantization
Mar, 199911 pages
Published in:
- JHEP 06 (1999) 030
e-Print:
- hep-th/9903205 [hep-th]
Report number:
- DESY-99-039,
- MLI-13-1998-99
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Abstract:
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.- membrane model: D-brane
- string model
- field theory: deformation
- perturbation theory: higher-order
- operator: vertex
- operator product expansion
- differential geometry: noncommutative
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