Kavli Affiliate: Yuji Tachikawa
| First 5 Authors: Yasunori Lee, Yuji Tachikawa, , ,
| Summary:
Global gauge anomalies in $6d$ associated with non-trivial homotopy groups
$pi_6(G)$ for $G=SU(2)$, $SU(3)$, and $G_2$ were computed and utilized in the
past. In the modern bordism point of view of anomalies, however, they come from
the bordism groups $Omega^text{spin}_7(BG)$, which are in fact trivial and
therefore preclude their existence. Instead, it was noticed that a proper
treatment of the $6d$ Green-Schwarz mechanism reproduces the same anomaly
cancellation conditions derived from $pi_6(G)$. In this paper, we revisit and
clarify the relation between these two different approaches.
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