Junding Chen

We develop a framework of zero dimensional defects for analyzing light-lightheavy-heavy (LLHH) correlators in conformal field theories. We specifically apply this formalism to correlators of giant gravitons in N = 4 super Yang-Mills to probe the nontrivial physics beyond planarity. By combining this framework with bootstrap techniques, we compute all four-point functions at strong coupling involving two maximal giant gravitons and two supergravitons of arbitrary dimensions. We identify a partially broken, higherdimensional hidden symmetry -a defect extension of 10d hidden conformal symmetrypresent at both strong and weak coupling, which allows these correlators to be packaged into a single generating function. Furthermore, we perform a systematic OPE analysis of the strong-coupling correlators, extracting the complete spectrum of anomalous dimensions for the defect-channel double-particle operators. Finally, we argue that the defect perspective provides the natural nonperturbative description for any LLHH correlator by showing that four-point conformal blocks reduce to defect two-point blocks in the heavy limit.

We consider correlation functions of two maximal giant gravitons and two light 1 2 -BPS (Bogomol’nyi–Prasad–Sommerfield) operators in 4D N = 4 SYM (super Yang-Mills). Viewed as two-point correlators in the presence of a zero-dimensional defect, they can be completely fixed at strong coupling using analytic bootstrap techniques. We determine all infinitely such correlators for arbitrary light 1 2 -BPS operators and find that the result can be repackaged into a simple generating function thanks to a hidden higher-dimensional symmetry. We also find evidence that the same symmetry holds at weak coupling for loop correction integrands.