ダウンロード数: 30
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
PhysRevLett.131.011602.pdf | 341.04 kB | Adobe PDF | 見る/開く |
タイトル: | Solitonic Symmetry beyond Homotopy: Invertibility from Bordism and Noninvertibility from Topological Quantum Field Theory |
著者: | Chen, Shi Tanizaki, Yuya https://orcid.org/0000-0003-1283-1808 (unconfirmed) |
著者名の別形: | 谷崎, 佑弥 |
キーワード: | Quantum field theory Solitons Topological field theories Topological phases of matter Particles & Fields Condensed Matter, Materials & Applied Physics |
発行日: | Jul-2023 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review Letters |
巻: | 131 |
号: | 1 |
論文番号: | 011602 |
抄録: | Solitonic symmetry has been believed to follow the homotopy-group classification of topological solitons. Here, we point out a more sophisticated algebraic structure when solitons of different dimensions coexist in the spectrum. We uncover this phenomenon in a concrete quantum field theory, the 4D CP1 model. This model has two kinds of solitonic excitations - vortices and hopfions - which would follow two U(1) solitonic symmetries according to homotopy groups. Nevertheless, we demonstrate the nonexistence of the hopfion U(1) symmetry by evaluating the hopfion charge of vortex operators. We clarify that what conserves hopfion numbers is a noninvertible symmetry generated by 3D spin topological quantum field theories (TQFTs). Its invertible part is just Z2, which we recognize as a spin bordism invariant. Compared with the 3D CP1 model, our work suggests a unified description of solitonic symmetries and couplings to topological phases. |
著作権等: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. |
URI: | http://hdl.handle.net/2433/284929 |
DOI(出版社版): | 10.1103/PhysRevLett.131.011602 |
PubMed ID: | 37478440 |
出現コレクション: | 学術雑誌掲載論文等 |
このアイテムは次のライセンスが設定されています: クリエイティブ・コモンズ・ライセンス