Generalized characters of the level-one Wess–Zumino–Witten model for simply laced groups on Riemann surfaces

Abstract

The generalized characters of the level-one Al, Dl, and El Wess–Zumino–Witten models on the higher genus Riemann surfaces are obtained from their behaviors under the pinching limit of the zero-homology cycles. It is important in the construction of the higher genus characters that these models have fusion rules of the same type as the rational Gaussian model. The two-point correlators are also obtained by pinching the nonzero-homology cycle.