{
  "id": "2306.00990",
  "version": "v1",
  "published": "2023-06-01T17:59:59.000Z",
  "updated": "2023-06-01T17:59:59.000Z",
  "title": "Finite Entanglement Entropy in String Theory",
  "authors": [
    "Atish Dabholkar",
    "Upamanyu Moitra"
  ],
  "comment": "6 pages; two-column format",
  "categories": [
    "hep-th",
    "gr-qc",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We analyze the one-loop quantum entanglement entropy in ten-dimensional Type-II string theory using the orbifold method by analytically continuing in $N$ the genus-one partition function for string orbifolds on $\\mathbb{R}^2/\\mathbb{Z}_N$ conical spaces known for all odd integers $N > 1$. We show that the tachyonic contributions to the orbifold partition function can be appropriately summed and analytically continued to an expression that is finite in the physical region $0 < N \\leq 1$ resulting in a finite and calculable answer for the entanglement entropy. We discuss the implications of the finiteness of the entanglement entropy for the information paradox, quantum gravity, and holography.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-01T17:59:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite entanglement entropy",
      "one-loop quantum entanglement entropy",
      "orbifold partition function",
      "genus-one partition function",
      "ten-dimensional type-ii string theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}