{
  "id": "1608.04237",
  "version": "v1",
  "published": "2016-08-15T11:22:37.000Z",
  "updated": "2016-08-15T11:22:37.000Z",
  "title": "Space & time discontinuities in Liouville theory and its discrete analogue",
  "authors": [
    "Anastasia Doikou",
    "Iain Findlay"
  ],
  "comment": "17 pages, Latex",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We consider the deformed harmonic oscillator as a discrete version of the Liouville theory and study this model in the presence of local integrable defects. From this, the time evolution of the defect degrees of freedom are determined, found in the form of the local equations of motion. We also revisit the continuous Liouville theory, deriving its local integrals of motion and comparing these with previous results from the sine-Gordon point of view.Finally, the generic Backlund type relations are presented, corresponding to the implementation of time-like and space-like impurities in the continuum model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-15T11:22:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "liouville theory",
      "discrete analogue",
      "time discontinuities",
      "generic backlund type relations",
      "discrete version"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}