Anomaly cancellation and modularity, Ⅱ: The E8 × E8 case

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（6）
• 页码范围: 985-994
• 页数: 10页
• 语种: 英文
• DOI: 10.1007/s11425-016-9034-1

摘要

In this paper we show that both of the Green-Schwarz anomaly factorization formula for the gauge group Es × E8 and the Ho(r)ava-Witten anomaly factorization formula for the gauge group Es 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 Ho(r)ava-Witten type factorization formula.