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Anomaly cancellation and modularity, II:The E_8× E_8 case

Anomaly cancellation and modularity, II:The E_8× E_8 case
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摘要 In this paper we show that both of the Green-Schwarz anomaly factorization formula for the gauge group E8 × E8 and the Ho^ava-Witten anomaly factorization formula for the gauge group E8 can be derived through modular forms of weight 14. This answers a question of Schwarz. We also establish generalizations of these factorization formulas and obtain a new Horava-Witten type factorization formula. In this paper we show that both of the Green-Schwarz anomaly factorization formula for the gauge group E_8 × E_8 and the Horava-Witten anomaly factorization formula for the gauge group E_8 can be derived through modular forms of weight 14. This answers a question of Schwarz. We also establish generalizations of these factorization formulas and obtain a new Hoˇrava-Witten type factorization formula.
出处 《Science China Mathematics》 SCIE CSCD 2017年第6期985-994,共10页 中国科学:数学(英文版)
基金 supported by a start-up grant from National University of Singapore(Grant No.R-146-000-132-133) National Science Foundation of USA(Grant No.DMS-1510216) National Natural Science Foundation of China(Grant No.11221091)
关键词 E8 bundle anomaly cancellation Eisenstein series modular form E8 bundle, anomaly cancellation, Eisenstein series, modular form
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