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D-branes and deformation quantization
Open accessAbstract
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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Citations
Cited by
Douglas, M., & Nekrasov, N. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.977 · Cited by 2,096
Quantum field theory on noncommutative spaces
Szabo, R. (2003) · Physics Reports · doi:10.1016/s0370-1573(03)00059-0 · Cited by 1,650
Metadata
- Authors
- Schomerus, V.
- Venue
- Journal of High Energy Physics
- Published
- 1999-06-29
- Volume
- 1999
- Issue
- 06
- Pages
- 030-030
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2063236270
- Cited by
- 574
- References
- 0
- FWCI
- 57.54
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Schomerus, V. (1999). D-branes and deformation quantization. Journal of High Energy Physics. https://doi.org/10.1088/1126-6708/1999/06/030
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
