Finite-N counterpart of the finite-coupling giant/dual-giant relation

Determine whether the leading-planar finite-coupling relation between integrated sphere-giant and dual-giant correlators has a finite-N counterpart.

Background

At leading planar order, the integrated sphere-giant and dual-giant correlators discussed in Brown et al. are related by the analytic continuation M/N to -M/N, which is the continuation induced by N to -N at fixed M. The paper identifies the existence of an analogous relation at finite N as a test of whether the negative-rank relation extends beyond separated-point perturbative integrands.

The question concerns integrated correlators at finite coupling, whereas the main derivation in the paper applies exactly to free correlators and to separated-point weak-coupling integrands.

References

Whether this has a finite $N$ counterpart is a sharp test of how far the negative rank relation extends beyond the perturbative integrand.

— Negative Rank Relations for Giant Graviton Correlators  (2609.25846 - Chen et al., 22 Sep 2026) in Section 1, Introduction and summary