2025/11/28 by Alexei Morozov, Morozov, Alexei, Hasib Sifat +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum Mechanics and Non-Hermitian Physics #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2511.23132
A powerful approach to the celebrated Wess-Zumino-Witten (WZW) model is provided by its free-field realization. However, explicit calculations of conformal blocks are not described in the literature in full detail. We begin this study with the simplest cases of the sl(2)k and sl(3)k WZW models, with special emphasis on their global sl(2) and sl(3) symmetries of the resulting correlators, which are not explicit in this formalism. Also non-trivial is the verification of the Knizhnik-Zamolodchikov equations in the sl(3)k case, where the answers take the form of double integrals over screening charge positions and do not look like ordinary hypergeometric functions.