Higher rank FZZ-dualities
نویسندگان
چکیده
A bstract 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 $$ \mathfrak{sl}(2)/\mathfrak{u}(1) sl 2 / u 1 coset and sine-Liouville theory. In a previous work, proof of FZZ-duality was provided applying reduction method from \mathfrak{sl}(2) Wess-Zumino-Novikov-Witten to Liouville theory self-duality this paper, we work with type \mathfrak{sl}\left(N+1\right)/\left(\mathfrak{sl}(N)\times \mathfrak{u}(1)\right) N + × investigate equivalence an \mathfrak{sl}\left(N+\left.1\right|N\right) structure. derive duality explicitly for N = 2 , 3 recent works on extended \mathfrak{sl}(N) Toda Our results can be regarded as theoretic derivation Gaiotto-Rap?ák corner vertex operator algebras Y 0 ,N,N +1 [ ? ] N, ,N ? 1 ].
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2021
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep02(2021)140