Speaker
Prof.
Troels Harmark
(Niels Bohr Institute)
Description
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.
