Bulk Gravitational Interpretation of K>1 Multi-Cut Saddles

Determine the precise bulk gravitational interpretation of the K>1 multi-cut saddle contributions to the ABJM superconformal index, establishing whether they correspond to a dynamical network of wormholes or to resonant geometries in the Euclidean path integral.

Background

Multi-cut saddles with K>1 dominate the late-time behavior of the ABJM spectral form factor and are expected to be dual to orbifolded Euclidean black holes in AdS4. However, the detailed bulk picture underlying these contributions is not yet identified.

Clarifying whether these saddles correspond to specific gravitational configurations—such as wormhole networks or resonant semiclassical geometries—would connect the index-based field-theory construction to concrete holographic mechanisms for late-time spectral correlations.

References

Moreover, although the K>1 saddles are expected to be dual to orbifolded black holes, a detailed bulk interpretation remains lacking. Do they correspond to a dynamical network of wormholes or to resonant geometries in the Euclidean path integral?

Supersymmetric Spectral Form Factor of ABJM Theory  (2512.11559 - Zheng, 12 Dec 2025) in Section 4 (Discussion)