{
  "id": "2012.11622",
  "version": "v1",
  "published": "2020-12-21T19:00:09.000Z",
  "updated": "2020-12-21T19:00:09.000Z",
  "title": "Some comments on $6d$ global gauge anomalies",
  "authors": [
    "Yasunori Lee",
    "Yuji Tachikawa"
  ],
  "comment": "33 pages",
  "categories": [
    "hep-th"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-21T19:00:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global gauge anomalies",
      "non-trivial homotopy groups",
      "green-schwarz mechanism reproduces",
      "anomaly cancellation conditions",
      "modern bordism point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}