Speaker
Description
Recently techniques for integrated four-point functions in N=4 SYM have been extended to cases where two of the operators are determinant-like operators and two O_2 operators. These HHLL correlators have dual descriptions in terms of scattering of closed strings off giant graviton branes in the bulk. One unusual feature of these correlators is that their strong coupling asymptotics contain a universal tower of stringy corrections which are independent of the precise details of the heavy operator at leading order in the large N expansion. One of the challenges in studying such correlators is the apparent complexity of the combinatorics in their matrix model description. I will propose a dual complex matrix model description for this family of correlators which computes their whole perturbative expansion in g_YM at finite N. This leads to a simple master formula for the spectral density of all HHLL integrated correlators on the conformal manifold for the U(N) theory. As a result I will explain the origin and breakdown of the universality in giant correlators to all orders in the 1/N expansion. I will also comment on how these techniques generalize to heavy operators describing bubbling geometries.