Witten Anomaly in 4d Heterotic Compactificaitons with N = 2 Supersymmetry

Kavli Affiliate: Taizan Watari

| First 5 Authors: Yuichi Enoki, Yotaro Sato, Taizan Watari, ,

| Summary:

We showed that there is no SU(2) Witten anomaly in a large class of 4d N = 2
supersymmetric Heterotic string compactifications. The consistency conditions
we consider are the modularity of the new supersymmetric index, the integrality
of BPS indices, and the discrete Peccei-Quinn shift symmetries. We also found
an example where these conditions are not sufficient to show that the theory is
anomaly free. This suggests that there are more conditions in the worldsheet
SCFT essential for consistent string compactifications.

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