{
  "id": "1702.02572",
  "version": "v1",
  "published": "2017-02-08T19:00:04.000Z",
  "updated": "2017-02-08T19:00:04.000Z",
  "title": "The hidden symmetry of the heterotic string",
  "authors": [
    "Shamit Kachru",
    "Arnav Tripathy"
  ],
  "comment": "Comments welcome!",
  "categories": [
    "hep-th",
    "math.QA",
    "math.RT"
  ],
  "abstract": "We propose that Borcherds' Fake Monster Lie algebra is a broken symmetry of heterotic string theory compactified on $T^7 \\times T^2$. As evidence, we study the fully flavored counting function for BPS instantons contributing to a certain loop amplitude. The result is controlled by $\\Phi_{12}$, an automorphic form for $O(2, 26, \\mathbb{Z})$. The degeneracies it encodes in its Fourier coefficients are graded dimensions of a second-quantized Fock space for this large symmetry algebra. This construction provides a concrete realization of Harvey and Moore's proposed relationship between Generalized Kac-Moody symmetries and supersymmetric string vacua.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-08T19:00:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hidden symmetry",
      "fake monster lie algebra",
      "large symmetry algebra",
      "broken symmetry",
      "heterotic string theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}