Projectors, matrix models and noncommutative instantons

Abstract

We deconstruct the finite projective modules for the fuzzy four-sphere, described in a previous paper, and correlate them with the matrix model approach, making manifest the physical implications of noncommutative topology. We briefly discuss also the U(2) case, being a smooth deformation of the celebrated BPST SU(2) classical instantons on a sphere.

28 pages, LaTeX, no figures

Cited by in corpus (4)

• Lamb shift and Stark effect in simultaneous space-space and momentum-momentum noncommutative quantum mechanics and $\theta$-deformed $su(2)$ algebra
• Non-abelian instantons on a fuzzy four-sphere
• Dirac operator on the quantum fuzzy four-sphere $S_{qF}^4$
• U(2) projectors and 't Hooft-Polyakov monopoles on a fuzzy sphere