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タイトル: | JT gravity limit of Liouville CFT and matrix model |
著者: | Suzuki, Kenta Takayanagi, Tadashi https://orcid.org/0000-0001-7187-3130 (unconfirmed) |
著者名の別形: | 鈴木, 健太 髙柳, 匡 |
キーワード: | 2D Gravity AdS-CFT Correspondence Matrix Models Bosonic Strings |
発行日: | Nov-2021 |
出版者: | Springer Nature |
誌名: | Journal of High Energy Physics |
巻: | 2021 |
号: | 11 |
論文番号: | 137 |
抄録: | In this paper we study a connection between Jackiw-Teitelboim (JT) gravity on two-dimensional anti de-Sitter spaces and a semiclassical limit of c < 1 two-dimensional string theory. The world-sheet theory of the latter consists of a space-like Liouville CFT coupled to a non-rational CFT defined by a time-like Liouville CFT. We show that their actions, disk partition functions and annulus amplitudes perfectly agree with each other, where the presence of boundary terms plays a crucial role. We also reproduce the boundary Schwarzian theory from the Liouville theory description. Then, we identify a matrix model dual of our two-dimensional string theory with a specific time-dependent background in c = 1 matrix quantum mechanics. Finally, we also explain the corresponding relation for the two-dimensional de-Sitter JT gravity. |
著作権等: | © The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. |
URI: | http://hdl.handle.net/2433/274732 |
DOI(出版社版): | 10.1007/JHEP11(2021)137 |
出現コレクション: | 学術雑誌掲載論文等 |
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