CHARGE SUM-RULES IN N = 2 THEORIES

We derive sum rules involving moments of the U(1) charge in the Ramond sector of N = 2 superconformal field theories. These charge sum rules are obtained by analyzing the modular properties of the elliptic genu s. The lowest order sum rule, [Q2] = 1/12c, pertains to the average of the charge squared over the Ramond ground ring. The higher sum rules contain information on the null-state structure of the underlying chir al algebra.