Giant gravitons and fuzzy CP2

In this article we describe the giant graviton configurations in AdSm×Sn backgrounds that involve 5-spheres, namely, the giant graviton in AdS4×S7 and the dual giant graviton in AdS7×S4, in terms of dielectric gravitational waves. Thus, we conclude the programme initiated in [hep-th/02071990] and pursued in [hep-th/0303183] and [hep-th/0406148] towards the microscopical description of giant gravitons in AdSm×Sn spacetimes. In our construction the gravitational waves expand due to Myers dielectric effect onto “fuzzy 5-spheres” which are described as S1 bundles over fuzzy CP2. These fuzzy manifolds appear as solutions of the matrix model that comes up as the action for M-theory gravitational waves. The validity of our description is checked by confirming the agreement with the Abelian description in terms of a spherical M5-brane when the number of waves goes to infinity.