Non-commutative branes in D-brane backgrounds
Abstract
We study Myers world-volume effective action of coincident D-branes. We investigate a system of N0 D0-branes in the geometry of Dp-branes with p=2 or p=4. The choice of coordinates can make the action simplified and tractable. For p=4, we show that a certain point-like D0-brane configuration solving equations of motion of the action can expand to form a fuzzy two-sphere without changing quantum numbers. We compare non-commutative D0-brane configurations with dual spherical D(6-p)-brane systems. We also discuss the relation between these configurations and giant gravitons in 11-dimensions.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.