Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography

@article{Ahn2020PoleskippingOS,
  title={Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography},
  author={Yongjun Ahn and Viktor Jahnke and Hyun-Sik Jeong and Keun-Young Kim and Kyungsun Lee and Mitsuhiro Nishida},
  journal={arXiv: High Energy Physics - Theory},
  year={2020}
}
Motivated by the recent connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators (OTOCs), we study the pole structure of thermal two-point functions in $d$-dimensional conformal field theories (CFTs) in hyperbolic space. We derive the pole-skipping points of two-point functions of scalar and vector fields by three methods (one field theoretic and two holographic methods) and confirm that they agree. We show that the leading pole-skipping… 

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