Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix Model

Details Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix Model Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix Model

2004-09-03

arxiv.org/abs/hep-th/0409045v1

Nucl.Phys. B709 (2005) 69-93

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX2e, 1 figure, 1 table

Scientific paper

10.1016/j.nuclphysb.2004.12.007

In plane-wave matrix model, the membrane fuzzy sphere extended in the SO(3) symmetric space is allowed to have periodic motion on a sub-plane in the SO(6) 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 1/r^7 type and thus the membrane fuzzy spheres interpreted as giant gravitons really behave as gravitons.

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