Anomalies of \(E_8\) gauge theory on string manifolds
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Publication:2919014
DOI10.1142/S0217751X1105333XzbMATH Open1247.81409arXiv0807.4940OpenAlexW3106322751MaRDI QIDQ2919014
Author name not available (Why is that?)
Publication date: 2 October 2012
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/0807.4940
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