{
  "id": "1902.09901",
  "version": "v1",
  "published": "2019-02-26T12:56:05.000Z",
  "updated": "2019-02-26T12:56:05.000Z",
  "title": "Critical points of coupled vector-Ising systems. Exact results",
  "authors": [
    "Gesualdo Delfino",
    "Noel Lamsen"
  ],
  "comment": "8 pages, 4 figures, 1 table",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th"
  ],
  "abstract": "We show that scale invariant scattering theory allows to exactly determine the critical points of two-dimensional systems with coupled $O(N)$ and Ising order pameters. The results are obtained for $N$ continuous and include criticality of loop gas type. In particular, for $N=1$ we exhibit three critical lines intersecting at the Berezinskii-Kosterlitz-Thouless transition point of the Gaussian model and related to the $Z_4$ symmetry of the isotropic Ashkin-Teller model. For $N=2$ we classify the critical points that can arise in the XY-Ising model and provide exact answers about the critical exponents of the fully frustrated XY model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-26T12:56:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical points",
      "coupled vector-ising systems",
      "exact results",
      "scale invariant scattering theory",
      "isotropic ashkin-teller model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}