# D-branes and Deformation Quantization

@article{Schomerus1999DbranesAD,
title={D-branes and Deformation Quantization},
author={Volker Schomerus},
journal={arXiv: High Energy Physics - Theory},
year={1999}
}
• V. Schomerus
• Published 24 March 1999
• Mathematics
• arXiv: High Energy Physics - Theory
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…
554 Citations

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## References

SHOWING 1-10 OF 26 REFERENCES

### Tasi lectures on D-branes

This is an introduction to the properties of D-branes, topological defects in string theory on which string endpoints can live. D-branes provide a simple description of various nonperturbative

### D-branes in the WZW model

• Mathematics
• 1999
It is stated in the literature that D-branes in the WZW-model associated with the gluing condition J = - \bar{J} along the boundary correspond to branes filling out the whole group volume. We show

### D-branes and the noncommutative torus

• Mathematics
• 1998
We show that in certain superstring compactifications, gauge theories on noncommutative tori will naturally appear as D-brane world-volume theories. This gives strong evidence that they are

### World volume noncommutativity versus target space noncommutativity

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• 1999
It is known that the noncommutativity of D-brane coordinate is responsible for describing the higher-dimensional D-branes in terms of more fundamental ones such as D-particles or D-instantons, while

### A Path Integral Approach¶to the Kontsevich Quantization Formula

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• 1999
Abstract: We give a quantum field theory interpretation of Kontsevich's deformation quantization formula for Poisson manifolds. We show that it is given by the perturbative expansion of the path