# D-branes and Deformation Quantization

@article{Schomerus1999DbranesAD, title={D-branes and Deformation Quantization}, author={Volker Schomerus}, journal={arXiv: High Energy Physics - Theory}, year={1999} }

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

### Non-commutative worldvolume geometries: D-branes on SU(2) and fuzzy spheres

- Mathematics
- 1999

The geometry of D-branes can be probed by open string scattering. If the background carries a non-vanishing B-field, the world-volume becomes non-commutative. Here we explore the quantization of…

### Brane Dynamics in CFT Backgrounds

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- 2001

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### Horizon Branes and Chiral Strings

- Mathematics
- 2002

In this thesis I present a new type of brane - H-brane - where the role of time in String Theory is considered as a primary concept in the search for still unknown black hole physics. Using the basic…

### D 0-branes in a H-field Background and Noncommutative Geometry

- Mathematics
- 2000

It is known that if we compactify D0-branes on a torus with constant B-field, the resulting theory becomes SYM theory on a noncommutative dual torus. We discuss the extension to the case of a H-field…

### H-BRANES AND CHIRAL STRINGS

- Physics
- 2001

We add a simple boundary term to the Polyakov action and construct a new class of D-branes with a single null direction. On the string world sheet the system is described by a single quantized…

### Nonassociative Star Product Deformations for D-Brane World-Volumes in Curved Backgrounds

- Physics
- 2002

Abstract: We investigate the deformation of D-brane world-volumes in curved backgrounds. We calculate the leading corrections to the boundary conformal field theory involving the background fields,…

### D-Branes in Noncommutative Field Theory

- Physics
- 2005

A mathematical introduction to the classical solutions of noncommutative field theory is presented, with emphasis on how they may be understood as states of D-branes in Type II superstring theory.…

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