Abstract:
A method is developed for constructing single valued rational 4-point functions of primary fields for $su_2$ conformal current algebra satisfying the Knizhnik–Zamolodchikov equation. For integer conformal dimensions $\Delta$ these rational solutions are proven to be in one-to-one correspondence with non-diagonal modular invariant partition functions of the D-even and
E-even series of the ADE classification.
Citation:
L. Michel, Ya. S. Stanev, I. T. Todorov, “D-E classification of the local extensions of $SU_2$ current algebras”, TMF, 92:3 (1992), 507–521; Theoret. and Math. Phys., 92:3 (1992), 1063–1074