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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Autores principales: Keun-Young Kim, Kyung-Sun Lee, Mitsuhiro Nishida
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Publicado: SpringerOpen 2021
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic Gauge-gravity correspondence
AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle 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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