A Microscopical Description of Giant Gravitons

Abstract

We construct a non-Abelian world volume effective action for a system of multiple M-theory gravitons. This action contains multipole moment couplings to the eleven-dimensional background potentials. We use these couplings to study, from the microscopical point of view, giant graviton configurations where the gravitons expand into an M2-brane, with the topology of a fuzzy 2-sphere, that lives in the spherical part of the AdS_7 x S^4 background or in the AdS part of AdS_4 x S^7. When the number of gravitons is large we find perfect agreement with the Abelian, macroscopical description of giant gravitons given in the literature.

17 pages, LaTeX. v2: Inaccuracies corrected in sections 5 & 6. References added. v3: Version published in Nucl.Phys. B

References in corpus (1)

• Higher dimensional geometries related to fuzzy odd-dimensional spheres

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