Anomaly Cancellation and Modularity. II: E8× E8 case
Abstract
In this paper we show that both of the Green-Schwarz anomaly factorization formula for the gauge group E8× E8 and the Horava-Witten anomaly factorization formula for the gauge group E8 can be derived through modular forms of weight 14. This answers a question of J. H. Schwarz. We also establish generalizations of these factorization formulas and obtain a new Horava-Witten type factorization formula.
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