A Microscopical Description of Giant Gravitons II: The AdS_5 x S^5 Background

TL;DR

This paper microscopically analyzes giant graviton configurations in AdS_5 x S^5, showing how multiple gravitons expand into fuzzy spheres and match classical descriptions at large numbers, using dualities and Matrix theory.

Contribution

It introduces a Matrix theory-based action for multiple Type IIB gravitons with multipole couplings, advancing the microscopic understanding of giant gravitons in AdS_5 x S^5.

Findings

Gravitons expand into a non-commutative 3-sphere.

Microscopic results agree with classical descriptions at large graviton numbers.

The action includes multipole moment couplings to background potentials.

Abstract

In this article we continue with the microscopical investigation of giant graviton configurations in AdS_m x S^n spacetimes, initiated in hep-th/0207199. Using dualities and a Matrix theory derivation we propose an action that describes multiple Type IIB gravitons. This action contains multipole moment couplings to the Type IIB background potentials. Using these couplings, we study, from the microscopical point of view, the giant graviton and dual giant graviton configurations in the AdS_5 x S^5 background. In both cases the gravitons expand into a non-commutative 3-sphere, that is defined as an S^1-bundle over a fuzzy 2-sphere. When the number of gravitons is large we find perfect agreement with the Abelian, macroscopical description of giant gravitons in this spacetime, given in the literature.