{
  "id": "2409.12911",
  "version": "v1",
  "published": "2024-09-19T17:03:49.000Z",
  "updated": "2024-09-19T17:03:49.000Z",
  "title": "Holographic correlators with BPS bound states in $\\mathcal{N} = 4$ SYM",
  "authors": [
    "Francesco Aprile",
    "Stefano Giusto",
    "Rodolfo Russo"
  ],
  "comment": "5 pages, 1 page of supplemental material",
  "categories": [
    "hep-th"
  ],
  "abstract": "We compute 4-point correlators in $\\mathcal{N} = 4$ $SU(N)$ Super-Yang-Mills with both single and double-particle $1/2$-BPS operators in the regime of large 't Hooft coupling and large $N$. In particular we give explicit expressions up to $\\mathcal{O}(1/N^4)$ for the lightest correlator with two double-particle and two single-particle operators built out of the stress-tensor multiplet. Our derivation makes use of the general holographic prescription applied to an asymptotically AdS$_5\\times$S$^5$ geometry that describes a coherent superposition of multi-graviton operators. The final result can be written in terms of a natural generalisation of the standard D-functions and takes a compact form in Mellin space. The correlator we compute here is the simplest of a more general class of correlators where two inserted operators are multi-particles. These can be derived with the same approach, suggesting that the structure found here is general.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-19T17:03:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bps bound states",
      "holographic correlators",
      "single-particle operators built",
      "general holographic prescription",
      "coherent superposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}