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In this paper we show that both of the Green-Schwarz anomaly factorization formulafor the gauge group E8 × E8 and the Hoˇrava-Witten anomaly factorization formula for the gaugegroup E8 can be derived ...
It has been shown that the Alvarez-Gaum′e-Witten miraculous anomaly cancellation formula in type IIB superstring theory and its various generalizations can be derived from modularity of certain charac...
By studying modular invariance properties of some characteristic forms, we prove some new anomaly cancellation formulas which generalize the Han-Zhang and Han-Liu-Zhang anomaly cancellation formulasKe...
By studying modular invariance properties of some characteristic forms, we prove some new anomaly cancellation formulas which generalize the Han-Zhang and Han-Liu-Zhang anomaly cancellation formulas
In this paper, we generalize the anomaly cancellation formulas in [1, 12, 7] to the cases that an auxiliary bundle W as well as a complex line bundle  are involved with no conditions on the first Pon...
In this paper, by combining modular forms and characteristicforms, we obtain general anomaly cancellation formulas of any dimension. For4k + 2 dimensional manifolds, our results include the gravitatio...

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