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タイトル: | Correlator correspondences for Gaiotto-Rapčák dualities and first order formulation of coset models |
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: | BRST Quantization Conformal and W Symmetry Conformal Field Theory String Duality |
発行日: | Dec-2021 |
出版者: | Springer Nature |
誌名: | Journal of High Energy Physics |
巻: | 2021 |
号: | 12 |
論文番号: | 144 |
抄録: | We derive correspondences of correlation functions among dual conformal field theories in two dimensions by developing a “first order formulation” of coset models. We examine several examples, and the most fundamental one may be a conjectural equivalence between a coset (SL(n)k ⊗SL(n)−1)/SL(n)k−1 and sl(n) Toda field theory with generic level k. Among others, we also complete the derivation of higher rank FZZ-duality involving a coset SL(n + 1)k /(SL(n)k ⊗ U(1)), which could be done only for n = 2, 3 in our previous paper. One obstacle in the previous work was our poor understanding of a first order formulation of coset models. In this paper, we establish such a formulation using the BRST formalism. With our better understanding, we successfully derive correlator correspondences of dual models including the examples mentioned above. The dualities may be regarded as conformal field theory realizations of some of the Gaiotto-Rapčák dualities of corner vertex operator algebras. |
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/2433/274735 |
DOI(出版社版): | 10.1007/JHEP12(2021)144 |
出現コレクション: | 学術雑誌掲載論文等 |
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