Hidden conformal symmetry for generic giant-graviton charge

Establish whether the partially broken higher-dimensional conformal symmetry observed for maximal giant-graviton correlators and weak-coupling integrands persists for giant gravitons with general heavy charge M.

Background

The paper establishes a negative-rank relation between sphere-giant and dual-giant correlators and separated-point perturbative integrands under the formal continuation N to -N. It notes that maximal giant-graviton correlators possess a partially broken higher-dimensional conformal symmetry both at strong coupling and at the integrand level at weak coupling.

Whether this hidden structure survives when the giant charge M is independent of N remains unresolved. Establishing such an extension would, through the negative-rank relation, imply the corresponding structure for dual-giant integrands.

References

It is not known whether this structure persists for general heavy charge $M$.

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