Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena
Abstract We study a holographic construction of conformal blocks in the Regge limit of four-point scalar correlation functions by using coordinates of the two-sided Rindler-AdS black hole. As a generalization of geodesic Witten diagrams, we construct diagrams with four external scalar fields in the...
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oai:doaj.org-article:4c1b973ccd86496b8ad95c7f74def3bd2021-11-08T11:16:25ZRegge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena10.1007/JHEP11(2021)0201029-8479https://doaj.org/article/4c1b973ccd86496b8ad95c7f74def3bd2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)020https://doaj.org/toc/1029-8479Abstract We study a holographic construction of conformal blocks in the Regge limit of four-point scalar correlation functions by using coordinates of the two-sided Rindler-AdS black hole. As a generalization of geodesic Witten diagrams, we construct diagrams with four external scalar fields in the Rindler-AdS black hole by integrating over two half-geodesics between the centers of Penrose diagrams and points at the AdS boundary. We demonstrate that late-time behaviors of the diagrams coincide with the Regge behaviors of conformal blocks. We also point out their relevance with the pole-skipping phenomena by showing that the near-horizon analysis of symmetric traceless fields with any integer spin in the Rindler-AdS black hole can capture the Regge behaviors of conformal blocks.Keun-Young KimKyung-Sun LeeMitsuhiro NishidaSpringerOpenarticleGauge-gravity correspondenceAdS-CFT CorrespondenceHolography and condensed matter physics (AdS/CMT)Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-32 (2021) |
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Gauge-gravity correspondence AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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Gauge-gravity correspondence AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Keun-Young Kim Kyung-Sun Lee Mitsuhiro Nishida Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena |
description |
Abstract We study a holographic construction of conformal blocks in the Regge limit of four-point scalar correlation functions by using coordinates of the two-sided Rindler-AdS black hole. As a generalization of geodesic Witten diagrams, we construct diagrams with four external scalar fields in the Rindler-AdS black hole by integrating over two half-geodesics between the centers of Penrose diagrams and points at the AdS boundary. We demonstrate that late-time behaviors of the diagrams coincide with the Regge behaviors of conformal blocks. We also point out their relevance with the pole-skipping phenomena by showing that the near-horizon analysis of symmetric traceless fields with any integer spin in the Rindler-AdS black hole can capture the Regge behaviors of conformal blocks. |
format |
article |
author |
Keun-Young Kim Kyung-Sun Lee Mitsuhiro Nishida |
author_facet |
Keun-Young Kim Kyung-Sun Lee Mitsuhiro Nishida |
author_sort |
Keun-Young Kim |
title |
Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena |
title_short |
Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena |
title_full |
Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena |
title_fullStr |
Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena |
title_full_unstemmed |
Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena |
title_sort |
regge conformal blocks from the rindler-ads black hole and the pole-skipping phenomena |
publisher |
SpringerOpen |
publishDate |
2021 |
url |
https://doaj.org/article/4c1b973ccd86496b8ad95c7f74def3bd |
work_keys_str_mv |
AT keunyoungkim reggeconformalblocksfromtherindleradsblackholeandthepoleskippingphenomena AT kyungsunlee reggeconformalblocksfromtherindleradsblackholeandthepoleskippingphenomena AT mitsuhironishida reggeconformalblocksfromtherindleradsblackholeandthepoleskippingphenomena |
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