Membrane fuzzy sphere dynamics in plane-wave matrix model Original Research Article

In plane-wave matrix model, the membrane fuzzy sphere extended in the image symmetric space is allowed to have periodic motion on a sub-plane in the image symmetric space. We consider a background configuration composed of two such fuzzy spheres moving on the same sub-plane and the one-loop quantum corrections to it. The one-loop effective action describing the fuzzy sphere interaction is computed up to the sub-leading order in the limit that the mean distance r between two fuzzy spheres is very large. We show that the leading order interaction is of the image type and thus the membrane fuzzy spheres interpreted as giant gravitons really behave as gravitons.