{
  "id": "2010.02267",
  "version": "v1",
  "published": "2020-10-05T18:25:57.000Z",
  "updated": "2020-10-05T18:25:57.000Z",
  "title": "Comments on chiral algebras and $Ω$-deformations",
  "authors": [
    "Nikolay Bobev",
    "Pieter Bomans",
    "Fridrik Freyr Gautason"
  ],
  "categories": [
    "hep-th"
  ],
  "abstract": "Every six-dimensional $\\mathcal{N}=(2,0)$ SCFT on $\\mathbf{R}^6$ contains a set of protected operators whose correlation functions are controlled by a two-dimensional chiral algebra. We provide an alternative construction of this chiral algebra by performing an $\\Omega$-deformation~of a topological-holomorphic twist of the $\\mathcal{N}=(2,0)$ theory on $\\mathbf{R}^6$ and restricting to the cohomology of a specific supercharge. In addition, we show that the central charge of the chiral algebra can be obtained by performing equivariant integration of the anomaly polynomial of the six-dimensional theory. Furthermore, we generalize this construction to include orbifolds of the $\\mathbf{R}^4$ transverse to the chiral algebra plane.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-05T18:25:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "deformations",
      "chiral algebra plane",
      "two-dimensional chiral algebra",
      "performing equivariant integration",
      "central charge"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}