Speaker
Description
I will describe the computation of a class of Heavy-Heavy-Light-Light (HHLL) correlators in which the heavy operator is a coherent state built from multi-graviton states. In N=4 SYM, this problem can be approached from several complementary perspectives, connecting gravity, string theory, and beautiful mathematics. Perturbatively, the leading-order contribution to the HHLL correlator is computed explicitly by combining a bootstrap approach based on the consistency of the OPE in the dual CFT with a gravity approach that maps the problem of determining the Green's function of the dilaton field in the heavy background to the connection problem for a Heun equation. Non-perturbatively, an integrated version of the HHLL correlator is computed exactly as a function of the relevant parameters using supersymmetric localization and modular resurgence analysis. Taken together, these results provide non-trivial predictions for the string theory dual and I will discuss how this information is encoded holographically.