Anomaly Cancellation and Modularity
Differential Geometry
2012-05-04 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
It has been shown that the Alvarez-Gaum-Witten miraculous anomaly cancellation formula in type IIB superstring theory and its various generalizations can be derived from modularity of certain characteristic forms. In this paper, we show that the Green-Schwarz formula and the Schwarz-Witten formula in type I superstring theory can also be derived from the modularity of those characteristic forms and thus unify the Alvarez-Gaum-Witten formula, the Green-Schwarz formula as well as the Schwarz-Witten formula in the same framework. Various generalizations of these remarkable formulas are also established.
Cite
@article{arxiv.1205.0718,
title = {Anomaly Cancellation and Modularity},
author = {Fei Han and Kefeng Liu and Weiping Zhang},
journal= {arXiv preprint arXiv:1205.0718},
year = {2012}
}