Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography
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arXiv
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| Format: | Preprint |
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2020
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| author | Ahn, Yongjun Jahnke, Viktor Jeong, Hyun-Sik Kim, Keun-Young Lee, Kyung-Sun Nishida, Mitsuhiro |
| author_facet | Ahn, Yongjun Jahnke, Viktor Jeong, Hyun-Sik Kim, Keun-Young Lee, Kyung-Sun Nishida, Mitsuhiro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_00974 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography Ahn, Yongjun Jahnke, Viktor Jeong, Hyun-Sik Kim, Keun-Young Lee, Kyung-Sun Nishida, Mitsuhiro High Energy Physics - Theory General Relativity and Quantum Cosmology 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. |
| title | Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2006.00974 |