Nonabelian D-branes and Noncommutative Geometry

Details Nonabelian D-branes and Noncommutative Geometry Nonabelian D-branes and Noncommutative Geometry

2001-06-19

arxiv.org/abs/hep-th/0106178v2

J.Math.Phys.42:2781-2797,2001

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Latex, ref. added

Scientific paper

10.1142/S0217751X01004037

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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