Feigin-Fuchs Representations for Nonequivalent Algebras of N=4 Superconformal Symmetery

Satoshi Matsuda, Yukitaka Ishimoto

The $N=4$ SU(2)${}_k$ superconformal algebra has the global automorphism of SO(4) $\approx$ SU(2)$\times$SU(2) with the {\it left} factor as the Kac-Moody gauge symmetry. As a conseq…