Charge sum rules in N = 2 theories

O. Aharony*, S. Yankielowicz, A. N. Schellekens

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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, 〈Q2〉 = 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.

Original languageEnglish
Pages (from-to)157-172
Number of pages16
JournalNuclear Physics, Section B
Issue number1-2
StatePublished - 25 Apr 1994


FundersFunder number
Israel Academy of
US-Israel Binational Science Foundation


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