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Giant gravitons and fuzzy CP2

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NUCLEAR PHYSICS B
卷 712, 期 1-2, 页码 371-391

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DOI: 10.1016/j.nuclphysb.2005.01.039

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In this article we describe the giant graviton configurations in AdS(m) x S-n backgrounds that involve 5-spheres, namely, the giant graviton in AdS(4) x S-7 and the dual giant graviton in AdS(7) x S-4, 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 AdS(m) x S-n spacetimes. In our construction the gravitational waves expand due to Myers dielectric effect onto fuzzy 5-spheres which are described as S' 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. (c) 2005 Elsevier B.V. All rights reserved.

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