Charge sum rules in N = 2 theories

O. Aharony; S. Yankielowicz; A. N. Schellekens

doi:10.1016/0550-3213(94)90242-9

Charge sum rules in N = 2 theories

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

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

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, 〈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 language	English
Pages (from-to)	157-172
Number of pages	16
Journal	Nuclear Physics, Section B
Volume	418
Issue number	1-2
DOIs	https://doi.org/10.1016/0550-3213(94)90242-9
State	Published - 25 Apr 1994

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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, 〈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.",

author = "O. Aharony and S. Yankielowicz and Schellekens, {A. N.}",

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AB - 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.

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Charge sum rules in N = 2 theories

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