{
  "id": "2208.01730",
  "version": "v1",
  "published": "2022-08-02T20:44:01.000Z",
  "updated": "2022-08-02T20:44:01.000Z",
  "title": "Defects via Factorization Algebras",
  "authors": [
    "Ivan Contreras",
    "Chris Elliott",
    "Owen Gwilliam"
  ],
  "comment": "19 pages. Comments welcome!",
  "categories": [
    "math-ph",
    "math.MP",
    "math.QA"
  ],
  "abstract": "We provide a mathematical formulation of the idea of a defect for a field theory, in terms of the factorization algebra of observables and using the BV formalism. Our approach follows a well-known ansatz identifying a defect as a boundary condition along the boundary of a blow-up, but it uses recent work of Butson-Yoo and Rabinovich on boundary conditions and their associated factorization algebras to implement the ansatz. We describe how a range of natural examples of defects fits into our framework.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-02T20:44:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary condition",
      "well-known ansatz",
      "defects fits",
      "field theory",
      "bv formalism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}