标题： 异常消除和模ularity 显示英文标题

标题： Anomaly Cancellation and Modularity

摘要： 已被证明，在IIB型超弦理论中的Alvarez-Gaum$\mathrm{\acute{e}}$-Witten奇迹反常抵消公式及其各种推广可以从某些特征形式的模性推导出来。 在本文中，我们表明，在I型超弦理论中的Green-Schwarz公式和Schwarz-Witten公式也可以从这些特征形式的模性推导出来，从而在同一个框架中统一Alvarez-Gaum$\mathrm{\acute{e}}$-Witten公式、Green-Schwarz公式以及Schwarz-Witten公式。 这些显著公式的各种推广也被建立。 显示英文摘要

摘要： It has been shown that the Alvarez-Gaum$\mathrm{\acute{e}}$-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$\mathrm{\acute{e}}$-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.