Interacting Giant Gravitons from Spin Matrix Theory

TL;DR

This paper derives a matrix model describing giant gravitons in AdS_5 x S^5 and demonstrates its equivalence to Spin Matrix Theory near a unitarity bound, linking string theory and gauge theory dynamics.

Contribution

It establishes a precise correspondence between giant graviton dynamics and Spin Matrix Theory using a unified matrix model framework.

Findings

Matrix model describes giant gravitons at high energies.

Exact match between string theory and gauge theory descriptions.

Provides insights into non-supersymmetric D-brane dynamics.

Abstract

Using the non-abelian DBI action we find an effective matrix model that describes the dynamics of weakly interacting giant gravitons wrapped on three-spheres in the AdS part of AdS_5 x S^5 at high energies with two angular momenta on the S^5. In parallel we consider the limit of \CN=4 super Yang-Mills theory near a certain unitarity bound where it reduces to the quantum mechanical theory called SU(2) Spin Matrix Theory. We show that the exact same matrix model that describes the giant gravitons on the string theory side also provides the effective description in the strong coupling and large energy limit of the Spin Matrix Theory. Thus, we are able to match non-supersymmetric dynamics of D-branes on AdS_5 x S^5 to a finite-N regime in \CN=4 super Yang-Mills theory near a unitarity bound.