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NONABELIAN D-BRANES AND NONCOMMUTATIVE GEOMETRY

2001/02/20 by Robert C. Myers, ROBERT MYERS
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1142/s0217751x01004037

published as J.Math.Phys.42:2781-2797,2001 · 21 pages, Latex, ref. added

openalex publication_date 2001/02/20 · arxiv created 2001/06/27 · arxiv updated 2009/11/30 · openalex created_date 2017/04/07 · openalex updated_date 2026/07/28

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.

Citations