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.
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)