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Anomaly of strings of 6d $\mathcal{N}{=}(1,0)$ theories

arXiv:1608.05894 · doi:10.1007/JHEP11(2016)165

Abstract

We obtain the anomaly polynomial of strings of general 6d $\mathcal{N}{=}(1,0)$ theories in terms of anomaly inflow. Our computation sheds some light on the reason why the simplest 6d $\mathcal{N}{=}(1,0)$ theory has $E_8$ flavor symmetry, and also partially explains a curious numerology in F-theory.

13 pages; v2: references added