Determine whether frame dependence is an artifact of bottom-up holographic models

Determine whether the differing predictions obtained in the Einstein and string frames for holographic information spreading are an unphysical artifact of the bottom-up holographic constructions, and whether those differences are alleviated in a fully top-down holographic setting.

Background

The paper finds that Krylov complexity can depend qualitatively on whether probe dynamics is formulated using the Einstein-frame or string-frame metric. In particular, massive-particle complexity grows monotonically in the deformed thermal-AdS background in the Einstein frame but becomes oscillatory in the string frame, where an infrared turning point emerges.

The authors emphasize that both frames describe related formulations of the same bottom-up Einstein-dilaton backgrounds, raising the unresolved issue of whether the resulting physical differences reflect genuine frame-dependent physics or limitations of the phenomenological constructions. They further ask whether a more complete top-down holographic model would reduce or eliminate these discrepancies.

References

It is unclear whether this is an unphysical relic of the used bottom-up constructions and whether such differences in predictions would be alleviated in a full-blown top-down setting.

— Holographic Krylov complexity in confining backgrounds: particle, string, and frames  (2610.13555 - Nongmaithem et al., 9 Oct 2026) in Section Conclusion and future perspectives