Anomaly Cancellation and Modularity. II: $E_8\times E_8$ case
High Energy Physics - Theory
2012-09-21 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
In this paper we show that both of the Green-Schwarz anomaly factorization formula for the gauge group and the Ho\v{r}ava-Witten anomaly factorization formula for the gauge group 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 Ho\v{r}ava-Witten type factorization formula.
Cite
@article{arxiv.1209.4540,
title = {Anomaly Cancellation and Modularity. II: $E_8\times E_8$ case},
author = {Fei Han and Kefeng Liu and Weiping Zhang},
journal= {arXiv preprint arXiv:1209.4540},
year = {2012}
}