Correlator correspondences for Gaiotto-Rapčák dualities and first order formulation of coset models

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: 144

Journal Issue: 12

DOI: 10.1007/JHEP12(2021)144

Abstract

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.

Authors with CRIS profile

Thomas Creutzig

Involved external institutions

University of Alberta CA Canada (CA) Kyoto University / 京都大学 Kyōto daigaku JP Japan (JP)

How to cite

APA:

Creutzig, T., & Hikida, Y. (2021). Correlator correspondences for Gaiotto-Rapčák dualities and first order formulation of coset models. Journal of High Energy Physics, 2021(12). https://doi.org/10.1007/JHEP12(2021)144

MLA:

Creutzig, Thomas, and Yasuaki Hikida. "Correlator correspondences for Gaiotto-Rapčák dualities and first order formulation of coset models." Journal of High Energy Physics 2021.12 (2021).

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