{
  "id": "2002.02037",
  "version": "v1",
  "published": "2020-02-05T23:24:39.000Z",
  "updated": "2020-02-05T23:24:39.000Z",
  "title": "Generalized 't Hooft anomalies on non-spin manifolds",
  "authors": [
    "Mohamed M. Anber",
    "Erich Poppitz"
  ],
  "comment": "26 pages",
  "categories": [
    "hep-th",
    "cond-mat.str-el",
    "hep-lat"
  ],
  "abstract": "We study the mixed anomaly between the discrete chiral symmetry and general baryon-color-flavor (BCF) backgrounds in $SU(N_c)$ gauge theories with $N_f$ flavors of Dirac fermions in representations ${\\cal R}_c$ of $N$-ality $n_c$, formulated on non-spin manifolds. We show how to study these theories on $\\mathbb{CP}^2$ by turning on general BCF fluxes consistent with the fermion transition functions. We consider several examples in detail and argue that matching the anomaly on non-spin manifolds places stronger constraints on the infrared physics, compared to the ones on spin manifolds (e.g.~$\\mathbb{T}^4$). We also show how to consistently formulate various chiral gauge theories on non-spin manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-05T23:24:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hooft anomalies",
      "non-spin manifolds places stronger constraints",
      "general bcf fluxes consistent",
      "fermion transition functions",
      "discrete chiral symmetry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}