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タイトル: | Topological terms of (2+1)d flag-manifold sigma models |
著者: | Kobayashi, Ryohei Lee, Yasunori Shiozaki, Ken Tanizaki, Yuya https://orcid.org/0000-0003-1283-1808 (unconfirmed) |
著者名の別形: | 谷崎, 佑弥 塩崎, 謙 |
キーワード: | Field Theories in Lower Dimensions Sigma Models Solitons Monopoles and Instantons |
発行日: | Aug-2021 |
出版者: | Springer Nature |
誌名: | Journal of High Energy Physics |
巻: | 2021 |
号: | 8 |
論文番号: | 75 |
抄録: | We examine topological terms of (2 + 1)d sigma models and their consequences in the light of classifications of invertible quantum field theories utilizing bordism groups. In particular, we study the possible topological terms for the U(N)/U(1)N flag-manifold sigma model in detail. We argue that the Hopf-like term is absent, contrary to the expectation from a nontrivial homotopy group π3(U(N)/U(1)N) = ℤ, and thus skyrmions cannot become anyons with arbitrary statistics. Instead, we find that there exist N(N−1)2−1 types of Chern-Simons terms, some of which can turn skyrmions into fermions, and we write down explicit forms of effective Lagrangians. |
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/2433/274804 |
DOI(出版社版): | 10.1007/JHEP08(2021)075 |
出現コレクション: | 学術雑誌掲載論文等 |
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