Interacting giant gravitons from spin matrix theory.

Using the non-Abelian Dirac-Born-Infeld action we find an effective matrix model that describes the dynamics of weakly interacting giant gravitons wrapped on three-spheres in the anti-de Sitter (AdS) part of AdS5 ? S5 at high energies with two angular momenta on the S5. In parallel we consider the limit of N = 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 nonsupersymmetric dynamics of D-branes on AdS5 ? S5 to a finite-N regime in N = 4 super Yang-Mills theory near a unitarity bound. [ABSTRACT FROM AUTHOR]