Fuzzy 5-spheres and pp-wave Matrix Actions

Abstract

Using the action describing N coincident gravitational waves in M-theory we construct a pp-wave Matrix model cointaning a fuzzy 5-sphere giant graviton solution. This fuzzy 5-sphere is constructed as a U(1) fibration over a fuzzy CP2, and has the correct dependence of the radius with the light-cone momentum, r4 p+, to approach the 5-sphere giant graviton solution of Mc.Greevy et al in the large N limit.

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