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arXiv 0807.4940hep-thmath.ATmath.DG
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弦流形上E8规范理论的反常

Anomalies of E8 gauge theory on String manifolds

Hisham Sati

摘要:

本文重新讨论了弦论和弦结构流形上的M-理论中的反常消去问题,并给出了三个结果。首先,在弦流形上,杂化弦论中不存在E8 × E8整体反常。其次,迪亚科内斯库-摩尔-威滕的M理论配分函数相位异常的描述从自旋情况扩展到弦情况。第三,Diaconescu-Freed-Moore关于M-理论配分函数相位的三次加细律推广到弦流形。分析依赖于从依赖于Spin结构的不变量扩展到依赖于String结构的不变量。在此过程中,单循环项通过Witten亏格进行了细化。

英文摘要:

In this note we revisit the subject of anomaly cancelation in string theory and M-theory on manifolds with String structure and give three observations. First, that on String manifolds there is no E8 x E8 global anomaly in heterotic string theory. Second, that the description of the anomaly in the phase of the M-theory partition function of Diaconescu-Moore-Witten extends from the Spin case to the String case. Third, that the cubic refinement law of Diaconescu-Freed-Moore for the phase of the M-theory partition function extends to String manifolds. The analysis relies on extending from invariants which depend on the Spin structure to invariants which instead depend on the String structure. Along the way, the one-loop term is refined via the Witten genus.

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