$W_4$ Toda example as hidden Liouville CFT

Abstract

We construct correlators in the $W_4$ Toda 2d conformal field theory for a particular class of representations and demonstrate a relation to a $W_2$ (Virasoro) theory with different central charge. The relevance of the classical limits of the constructed 3-point functions and braiding matrices to problems in 4d conformal theories is discussed.

8 pages, contribution to the Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries", Dubna, Russia, August 3-8, 2015

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