Higher rank FZZ-dualities

Creutzig T, Hikida Y (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Journal of High Energy Physics Springer Verlag (Germany) / Institute of Physics / Scuola Internazionale Superiore di Studi Avanzati (SISSA)

Book Volume: 2021

Article Number: 140

Journal Issue: 2

DOI: 10.1007/JHEP02(2021)140

Abstract

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].

Involved external institutions

University of Alberta CA Canada (CA)

How to cite

APA:

Creutzig, T., & Hikida, Y. (2021). Higher rank FZZ-dualities. Journal of High Energy Physics, 2021(2). https://doi.org/10.1007/JHEP02(2021)140

MLA:

Creutzig, Thomas, and Yasuaki Hikida. "Higher rank FZZ-dualities." Journal of High Energy Physics 2021.2 (2021).

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