Myers Effect and Tachyon Condensation

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 $C{P}^2$ 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.

25 Pages

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Cited by in corpus (11)

• Dynamical aspects of the fuzzy CP${}^2$ in the large $N$ reduced model with a cubic term
• Perturbative versus nonperturbative dynamics of the fuzzy S^2*S^2
• Perturbative dynamics of fuzzy spheres at large N
• Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres
• Absence of a fuzzy $S^4$ phase in the dimensionally reduced 5d Yang-Mills-Chern-Simons model
• Fuzzy Torus in Matrix Model
• Gravitational Dielectric Effect and Myers Effect
• Branes wrapping black holes as a purely gravitational dielectric effect
• Quantum Entropy for the Fuzzy Sphere and its Monopoles
• Matrix Theory for the DLCQ of Type IIB String Theory on the AdS/Plane-wave
• Monopoles, Dirac operator and index theory for fuzzy $SU(3)/(U(1)\times U(1))$