{
  "id": "1610.07534",
  "version": "v1",
  "published": "2016-10-24T18:41:20.000Z",
  "updated": "2016-10-24T18:41:20.000Z",
  "title": "Simple Lie algebras, Drinfeld--Sokolov hierarchies, and multi-point correlation functions",
  "authors": [
    "Marco Bertola",
    "Boris Dubrovin",
    "Di Yang"
  ],
  "comment": "37 pages",
  "categories": [
    "math-ph",
    "math.AG",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "For a simple Lie algebra $\\mathfrak{g}$, we derive a simple algorithm for computing logarithmic derivatives of tau-functions of Drinfeld--Sokolov hierarchy of $\\mathfrak{g}$-type in terms of $\\mathfrak{g}$-valued resolvents. We show, for the topological solution to the lowest-weight-gauge Drinfeld--Sokolov hierarchy of $\\mathfrak{g}$-type, the resolvents evaluated at zero satisfy the $\\textit{topological ODE}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-24T18:41:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple lie algebra",
      "multi-point correlation functions",
      "lowest-weight-gauge drinfeld-sokolov hierarchy",
      "computing logarithmic derivatives",
      "simple algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}