{
  "id": "1906.12042",
  "version": "v1",
  "published": "2019-06-28T05:19:44.000Z",
  "updated": "2019-06-28T05:19:44.000Z",
  "title": "Deformations, renormgroup, symmetries, AdS/CFT",
  "authors": [
    "Andrei Mikhailov"
  ],
  "categories": [
    "hep-th"
  ],
  "abstract": "We consider the deformations of a supersymmetric quantum field theory by adding spacetime-dependent terms to the action. We propose to describe the renormgroup flow of such deformations as a solution of some Maurer-Cartan equation. In particular, we consider the strongly coupled limit of $N=4$ supersymmetric Yang-Mills theory. The AdS/CFT correspondence relates the computation of the renormgroup flow to a computation in the classical supergravity, which we describe. There is a leg amputation procedure, which constructs a solution of the Maurer-Cartan equation from tree diagramms of SUGRA. We consider a particular example of the beta-deformation. It is known that the leading term of the beta-function is cubic in the parameter of the beta-deformation. We give a cohomological interpretation of this leading term. We conjecture that it is actually encoded in some simpler cohomology class, which is quadratic in the parameter of the beta-deformation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-28T05:19:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T17",
      "83E50",
      "17B56",
      "81T50"
    ],
    "keywords": [
      "deformations",
      "supersymmetric quantum field theory",
      "renormgroup flow",
      "maurer-cartan equation",
      "symmetries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}