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 ωn = −i2πnT are not explicitly influenced by both R2 and R4 corrections, while the momenta kn receive corresponding corrections.
Highlights
IntroductionProgress in quantum many-body chaos has attracted much interest. In particular, developments in the gauge/gravity duality [1] have exhibited close connection between black hole physics and chaos in quantum many-body systems
In recent years, progress in quantum many-body chaos has attracted much interest
We study the effect of higher curvature corrections, i.e. the stringy correction and Gauss-Bonnet correction, to the pole-skipping phenomenon for generic scalar, vector, and metric perturbations
Summary
Progress in quantum many-body chaos has attracted much interest. In particular, developments in the gauge/gravity duality [1] have exhibited close connection between black hole physics and chaos in quantum many-body systems. The near horizon analysis was generalized in [17] to equations of bulk fields dual to spin-0, spin-1 and spin-2 operators, and pole-skipping is found to exist in retarded two point functions of these operators. These pole-skipping points appear in the lower half plane of the complex frequency, in contrast to the aforementioned pole-skipping point of chaos located in the upper half plane at ω = +i2πT. We conclude with a summary and discussion in the final section
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