Abstract

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 genus. The lowest order sum rule, 〈Q 2〉 = 1 12 c ̂ , 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 chiral algebra.

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