Myers Effect and Tachyon Condensation

TL;DR

This paper explores how D0-branes form stable fuzzy geometries like spheres through tachyon condensation in R-R backgrounds, revealing the algebraic dependencies of these formations.

Contribution

It demonstrates that fuzzy spheres and complex projective spaces can be realized via tachyon condensation, linking geometric stability to algebraic properties of D-brane systems.

Findings

Fuzzy two-sphere is formed by tachyon condensation from D0-branes.

Formation of fuzzy $CP^{2}$ depends on SU(3) algebra properties.

D-brane dynamics are influenced by the background's algebraic structure.

Abstract

D0-branes are unstable in the presence of an R-R field strength background. A fuzzy two-sphere is classically stable under such a background, this phenomenon being called the Myers effect. We analyze this effect from the viewpoint of tachyon condensation. It is explicitly shown that a fuzzy two-sphere is realized by the condensation of tachyons which appear from strings connecting different D0-branes. The formation of a fuzzy $CP^{2}$ is also investigated by considering the SU(3) invariant R-R field strength background. We find that the dynamics of the D-branes depends on the properties of the associated algebra.