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タイトル: | Topological pseudo entropy |
著者: | Nishioka, Tatsuma Takayanagi, Tadashi https://orcid.org/0000-0001-7187-3130 (unconfirmed) Taki, Yusuke |
著者名の別形: | 西岡, 辰磨 髙柳, 匡 瀧, 祐介 |
キーワード: | Chern-Simons Theories Conformal Field Theory Topological Field Theories |
発行日: | Sep-2021 |
出版者: | Springer Nature |
誌名: | Journal of High Energy Physics |
巻: | 2021 |
号: | 9 |
論文番号: | 15 |
抄録: | We introduce a pseudo entropy extension of topological entanglement entropy called topological pseudo entropy. Various examples of the topological pseudo entropies are examined in three-dimensional Chern-Simons gauge theory with Wilson loop insertions. Partition functions with knotted Wilson loops are directly related to topological pseudo (Rényi) entropies. We also show that the pseudo entropy in a certain setup is equivalent to the interface entropy in two-dimensional conformal field theories (CFTs), and leverage the equivalence to calculate the pseudo entropies in particular examples. Furthermore, we define a pseudo entropy extension of the left-right entanglement entropy in two-dimensional boundary CFTs and derive a universal formula for a pair of arbitrary boundary states. As a byproduct, we find that the topological interface entropy for rational CFTs has a contribution identical to the topological entanglement entropy on a torus. |
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/2433/274729 |
DOI(出版社版): | 10.1007/JHEP09(2021)015 |
出現コレクション: | 学術雑誌掲載論文等 |
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