{
  "id": "1707.02965",
  "version": "v1",
  "published": "2017-07-10T17:52:35.000Z",
  "updated": "2017-07-10T17:52:35.000Z",
  "title": "Conformal Gravity from Gauge Theory",
  "authors": [
    "Henrik Johansson",
    "Josh Nohle"
  ],
  "comment": "42 pages, 3 figures, 12 Feynman rules",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "We use the duality between color and kinematics to obtain scattering amplitudes in non-minimal conformal N=0,1,2,4 (super)gravity theories. Generic tree amplitudes can be constructed from a double copy between (super-)Yang-Mills theory and a new gauge theory built entirely out of dimension-six operators. The latter theory is marginal in six dimensions and contains modes with a wrong-sign propagator, echoing the behavior of conformal gravity. The dimension-six Lagrangian is uniquely determined by demanding that its scattering amplitudes obey the color-kinematics duality. The conformal gravity amplitudes obtained from the double copy are compared with the Berkovits-Witten twistor string and shown to agree up to at least eight points in the MHV sector. Our construction can be generalized in a number of ways. Adding scalars to the dimension-six theory gives Maxwell-Weyl gravity, and further adding phi^3 self-interactions among these scalars gives Yang-Mills-Weyl gravity. The latter is identified with Witten's twistor string for maximal N=4 supersymmetry. Deforming the dimension-six theory by adding a Yang-Mills term, m^2 F^2, gives a gauge theory that interpolates between marginal D=6 and D=4 theories. The corresponding double copy gives an interpolation between conformal gravity and Einstein gravity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-10T17:52:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "double copy",
      "dimension-six theory",
      "scattering amplitudes",
      "generic tree amplitudes",
      "gauge theory built"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}