A Microscopical Description of Giant Gravitons

TL;DR

This paper develops a microscopic non-Abelian effective action for multiple M-theory gravitons, enabling detailed analysis of giant graviton configurations expanding into fuzzy spheres within specific AdS backgrounds, matching macroscopic descriptions.

Contribution

It introduces a new non-Abelian world volume action for multiple gravitons, allowing microscopic study of giant gravitons and confirming agreement with known macroscopic results.

Findings

Microscopic action reproduces macroscopic giant graviton descriptions.

Giant gravitons expand into fuzzy 2-spheres in AdS backgrounds.

Results validate the non-Abelian approach for multiple 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.