TL;DR
This paper investigates how fermionic zero modes cause noncommutative geometry around D-branes, revealing that the angular space forms a fuzzy sphere in matrix theory.
Contribution
It demonstrates the emergence of a fuzzy sphere as the angular geometry near D-branes due to fermionic zero modes in matrix theory.
Findings
Coordinates become noncommutative due to fermionic zero modes.
The angular part of the geometry is a fuzzy sphere.
Noncommutative geometry arises in the D-brane neighborhood.
Abstract
Using a D0-brane as a probe, we study the spacetime geometry in the neighborhood of N D-branes in matrix theory. We find that due to fermionic zero modes, the coordinates of the probe in the transverse directions are noncommutative, and the angular part is a fuzzy sphere.
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