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Title:Cancelling mod-2 anomalies by Green-Schwarz mechanism with an antisymmetric tensor fieldAbstract:In this study, we investigate whether or not mod-2 anomalies can be canceled by the Green-Schwarz mechanism through the introduction of an antisymmetric tensor field. Specifically, we analyze Sp(n) gauge theories in four and eight dimensions. Our analysis shows that the mod-2 Witten anomaly in 4-dimensional Sp(n) gauge theory cannot be canceled by the Green-Schwarz mechanism. On the other hand, we find that the mod-2 anomalies in 8-dimensional N=1 Sp(n) gauge theory can be canceled, which is consistent with the expectation that this theory has a string theory realization.
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