TL;DR
This paper reviews the emergence of nonabelian gauge theories on coincident D-branes, highlighting their role in geometric effects, noncommutative geometry, and phenomena like dielectric effects and fuzzy funnels.
Contribution
It provides a comprehensive review of the nonabelian gauge theory framework on D-branes and its implications for geometric and physical phenomena.
Findings
Nonabelian gauge theories describe coincident D-branes.
Matrix-valued scalar fields encode transverse displacements.
Noncommutative geometry naturally arises in this context.
Abstract
A remarkable feature of D-branes is the appearance of a nonabelian gauge theory in the description of several (nearly) coincident branes. This nonabelian structure plays an important role in realizing various geometric effects with D-branes. In particular, the branes' transverse displacements are described by matrix-valued scalar fields and so noncommutative geometry naturally appears in this framework. I review the action governing this nonabelian theory, as well as various related physical phenomena such as the dielectric effect, giant gravitons and fuzzy funnels.
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