Smearing Effect in Plane-Wave Matrix Model

Abstract

Motivated by the usual D2-D0 system, we consider a configuration composed of flat membrane and fuzzy sphere membrane in plane-wave matrix model, and investigate the interaction between them. The configuration is shown to lead to a non-trivial interaction potential, which indicates that the fuzzy sphere membrane really behaves like a graviton, giant graviton. Interestingly, the interaction is of r^{-3} type rather than r^{-5} type. We interpret it as the interaction incorporating the smearing effect due to the fact that the considered supersymmetric flat membrane should span and spin in four dimensional subspace of plane-wave geometry.

26 pages; added reference

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Cited by in corpus (2)

• Dynamical tachyons on fuzzy spheres
• Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model