{
  "id": "2002.10517",
  "version": "v1",
  "published": "2020-02-24T20:17:45.000Z",
  "updated": "2020-02-24T20:17:45.000Z",
  "title": "A Taxonomy of Twists of Supersymmetric Yang--Mills Theory",
  "authors": [
    "Chris Elliott",
    "Pavel Safronov",
    "Brian R. Williams"
  ],
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.QA"
  ],
  "abstract": "We give a complete classification of twists of supersymmetric Yang--Mills theories in dimensions $2\\leq n \\leq 10$. We formulate supersymmetric Yang--Mills theory classically using the BV formalism, and then we construct an action of the supersymmetry algebra using the language of $L_\\infty$ algebras. For each orbit in the space of square-zero supercharges in the supersymmetry algebra, under the action of the spin group and the group of R-symmetries, we give a description of the corresponding twisted theory. These twists can be described in terms of mixed holomorphic-topological versions of Chern--Simons and BF theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-24T20:17:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "supersymmetry algebra",
      "formulate supersymmetric yang-mills theory",
      "complete classification",
      "bv formalism",
      "bf theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}