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D-branes and deformation quantization (1999)
| Venue: | JHEP |
| Citations: | 138 - 16 self |
BibTeX
@ARTICLE{Schomerus99d-branesand,
author = {Volker Schomerus},
title = {D-branes and deformation quantization},
journal = {JHEP},
year = {1999},
pages = {030}
}
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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.
Keyphrases
deformation quantization vertex operator operator product expansion operator product microscopic framework world-volume geometry fermionic field boundary conformal field theory field strength constant non-vanishing b-field world-volume algebra flat background series coincides moyal product
