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arXiv · 2006.00974

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

Yongjun Ahn·Viktor Jahnke·Hyun-Sik Jeong·Keun-Young Kim·Kyung-Sun Lee·Mitsuhiro Nishida
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Abstract

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 point of two point functions is related with the late time behavior of conformal blocks and shadow conformal blocks in four-point OTOCs.

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Yongjun Ahn, Viktor Jahnke, Hyun-Sik Jeong, Keun-Young Kim, Kyung-Sun Lee, Mitsuhiro Nishida. 2020-06-01. Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography. https://doi.org/10.1007/jhep09(2020)111

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