Description
The 1/2 -BPS indices of N = 4 Super Yang-Mills theory with unitary, orthogonal, and symplectic groups all admit q-expansions suggesting an interpretation in terms of D-branes in the dual bulk AdS5 string theories. The net effect of the brane contributions to the index is equivalent to the trace relations for the boundary theories which appear at finite N. I will present a derivation of the giant graviton expansion
in the corresponding bulk duals by quantizing the moduli space of 1/2 -BPS giant gravitons using supersymmetric localization to compute the functional integral for the equivariant index. Our results show that the analytic continuation for the giant graviton expansion observed in the literature maps precisely to a wall-crossing phenomenon for this index.
