{
  "id": "2008.03089",
  "version": "v1",
  "published": "2020-08-07T11:06:45.000Z",
  "updated": "2020-08-07T11:06:45.000Z",
  "title": "Sphere partition function of Calabi-Yau GLSMs",
  "authors": [
    "David Erkinger",
    "Johanna Knapp"
  ],
  "comment": "51 pages",
  "categories": [
    "hep-th",
    "math.AG"
  ],
  "abstract": "The sphere partition function of Calabi-Yau gauged linear sigma models (GLSMs) has been shown to compute the exact Kaehler potential of the Kaehler moduli space of a Calabi-Yau. We propose a universal expression for the sphere partition function evaluated in hybrid phases of Calabi-Yau GLSMs that are fibrations of Landau-Ginzburg orbifolds over some base manifold. Special cases include Calabi-Yau complete intersections in toric ambient spaces and Landau-Ginzburg orbifolds. The key ingredients that enter the expression are Givental's I/J-functions, the Gamma class and further data associated to the hybrid model. We test the proposal for one- and two-parameter abelian GLSMs, making connections, where possible, to known results from mirror symmetry and FJRW theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-07T11:06:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sphere partition function",
      "calabi-yau glsms",
      "calabi-yau gauged linear sigma models",
      "landau-ginzburg orbifolds",
      "exact kaehler potential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}