Fuzzy 5-spheres and pp-wave Matrix Actions

TL;DR

This paper constructs a pp-wave Matrix model in M-theory that includes a fuzzy 5-sphere giant graviton solution, extending previous models by incorporating a U(1) fibration over fuzzy CP^2.

Contribution

It introduces a new Matrix model with a fuzzy 5-sphere solution, demonstrating the correct radius dependence and connection to known giant graviton solutions.

Findings

Fuzzy 5-sphere constructed as a U(1) fibration over fuzzy CP^2.

Radius dependence matches p^+ in the large N limit.

Approaches known 5-sphere giant graviton solutions.

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 $CP^2$, and has the correct dependence of the radius with the light-cone momentum, $r^4\sim p^+$, to approach the 5-sphere giant graviton solution of Mc.Greevy et al in the large N limit.