Higher curvature corrections to pole-skipping

TL;DR

This paper investigates how higher curvature corrections, such as stringy and Gauss-Bonnet terms, affect the pole-skipping phenomenon in holographic two-point functions, revealing that certain frequencies remain unchanged while momenta are corrected.

Contribution

It provides the first analysis of higher curvature effects on pole-skipping in holography for scalar, vector, and metric perturbations, especially in the lower half plane.

Findings

Frequencies at pole-skipping points are unaffected by R^2 and R^4 corrections.

Momenta at pole-skipping points receive corrections due to higher curvature terms.

The study extends understanding of chaos and universal constraints in holographic models.

Abstract

Recent developments have revealed a new phenomenon, i.e. the residues of the poles of the holographic retarded two point functions of generic operators vanish at certain complex values of the frequency and momentum. This so-called pole-skipping phenomenon can be determined holographically by the near horizon dynamics of the bulk equations of the corresponding fields. In particular, the pole-skipping point in the upper half plane of complex frequency has been shown to be closed related to many-body chaos, while those in the lower half plane also places universal and nontrivial constraints on the two point functions. In this paper, we study the effect of higher curvature corrections, i.e. the stringy correction and Gauss-Bonnet correction, to the (lower half plane) pole-skipping phenomenon for generic scalar, vector, and metric perturbations. We find that at the pole-skipping points, the frequencies $\omega_n=-i2\pi nT$ are not explicitly influenced by both $R^2$ and $R^4$ corrections, while the momenta $k_n$ receive corresponding corrections.