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arXiv · hep-th/0106178

Nonabelian D-branes and Noncommutative Geometry

Robert C. Myers
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Abstract

We discuss the nonabelian world-volume action which governs the dynamics of N coincident Dp-branes. In this theory, the branes' transverse displacements are described by matrix-valued scalar fields, and so this is a natural physical framework for the appearance of noncommutative geometry. One example is the dielectric effect by which Dp-branes may be polarized into a noncommutative geometry by external fields. Another example is the appearance of noncommutative geometries in the description of intersecting D-branes of differing dimensions, such as D-strings ending on a D3- or D5-brane. We also describe the related physics of giant gravitons.

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Robert C. Myers. 2001-06-27. Nonabelian D-branes and Noncommutative Geometry. https://doi.org/10.1142/s0217751x01004037

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