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JHEP12(2022)004.pdf | 1.03 MB | Adobe PDF | 見る/開く |
タイトル: | Free fermion cyclic/symmetric orbifold CFTs and entanglement entropy |
著者: | Takayanagi, Tadashi https://orcid.org/0000-0001-7187-3130 (unconfirmed) Tsuda, Takashi |
著者名の別形: | 髙柳, 匡 津田, 崇史 |
キーワード: | AdS-CFT Correspondence Long Strings |
発行日: | Dec-2022 |
出版者: | Springer Nature |
誌名: | Journal of High Energy Physics |
巻: | 2022 |
号: | 12 |
論文番号: | 4 |
抄録: | In this paper we study the properties of two-dimensional CFTs defined by cyclic and symmetric orbifolds of free Dirac fermions, especially by focusing on the partition function and entanglement entropy. Via the bosonization, we construct the twist operators which glue two complex planes to calculate the partition function of ℤ₂ orbifold CFT on a torus. We also find an expression of ℤN cyclic orbifold in terms of Hecke operators, which provides an explicit relation between the partition functions of cyclic orbifolds and those of symmetric ones. We compute the entanglement entropy and Renyi entropy in cyclic orbifolds on a circle both for finite temperature states and for time-dependent states under quantum quenches. We find that the replica method calculation is highly non-trivial and new because of the contributions from replicas with different boundary conditions. We find the full expression for the ℤ2 orbifold and show that the periodicity gets doubled. Finally, we discuss extensions of our results on entanglement entropy to symmetric orbifold CFTs and make a heuristic argument towards holographic CFTs. |
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/2433/282018 |
DOI(出版社版): | 10.1007/JHEP12(2022)004 |
出現コレクション: | 学術雑誌掲載論文等 |
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