{
  "id": "hep-th/9708141",
  "version": "v1",
  "published": "1997-08-27T13:47:05.000Z",
  "updated": "1997-08-27T13:47:05.000Z",
  "title": "A classifying algebra for boundary conditions",
  "authors": [
    "J. Fuchs",
    "C. Schweigert"
  ],
  "comment": "12 pages, LaTeX",
  "journal": "Phys.Lett. B414 (1997) 251-259",
  "doi": "10.1016/S0370-2693(97)01180-5",
  "categories": [
    "hep-th"
  ],
  "abstract": "We introduce a finite-dimensional algebra that controls the possible boundary conditions of a conformal field theory. For theories that are obtained by modding out a Z_2 symmetry (corresponding to a so-called D_odd-type, or half-integer spin simple current, modular invariant), this classifying algebra contains the fusion algebra of the untwisted sector as a subalgebra. Proper treatment of fields in the twisted sector, so-called fixed points, leads to structures that are intriguingly close to the ones implied by modular invariance for conformal field theories on closed orientable surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-08-27T13:47:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary conditions",
      "conformal field theory",
      "half-integer spin simple current",
      "classifying algebra contains",
      "finite-dimensional algebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 447678
    }
  }
}