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タイトル: | Higher rank FZZ-dualities |
著者: | Creutzig, Thomas Hikida, Yasuaki https://orcid.org/0000-0001-7770-1815 (unconfirmed) |
著者名の別形: | 疋田, 泰章 |
キーワード: | Conformal and W Symmetry Conformal Field Theory String Duality |
発行日: | Feb-2021 |
出版者: | Springer Nature |
誌名: | Journal of High Energy Physics |
巻: | 2021 |
号: | 2 |
論文番号: | 140 |
抄録: | We examine strong/weak dualities in two dimensional conformal field theories by generalizing the Fateev-Zamolodchikov-Zamolodchikov (FZZ-)duality between Witten’s cigar model described by the sl(2)/u(1) coset and sine-Liouville theory. In a previous work, a proof of the FZZ-duality was provided by applying the reduction method from sl(2) Wess-Zumino-Novikov-Witten model to Liouville field theory and the self-duality of Liouville field theory. In this paper, we work with the coset model of the type sl(N+1)/(sl(N)×u(1)) and investigate the equivalence to a theory with an sl(N+1|N) structure. We derive the duality explicitly for N = 2, 3 by applying recent works on the reduction method extended for sl(N) and the self-duality of Toda field theory. Our results can be regarded as a conformal field theoretic derivation of the duality of the Gaiotto-Rapčák corner vertex operator algebras Y0, N, N+1[ψ] and YN, 0, N+1[ψ⁻¹]. |
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/2433/274733 |
DOI(出版社版): | 10.1007/JHEP02(2021)140 |
出現コレクション: | 学術雑誌掲載論文等 |
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