{
  "id": "1711.11065",
  "version": "v1",
  "published": "2017-11-29T19:23:09.000Z",
  "updated": "2017-11-29T19:23:09.000Z",
  "title": "The ABCDEFG of Little Strings",
  "authors": [
    "Nathan Haouzi",
    "Can Kozçaz"
  ],
  "comment": "61 pages+12 figures",
  "categories": [
    "hep-th",
    "math.RT"
  ],
  "abstract": "Starting from type IIB string theory on an $ADE$ singularity, the (2,0) little string arises when one takes the string coupling $g_s$ to 0. In this setup, we give a unified description of the codimension-two defects of the little string, for any simple Lie algebra ${\\mathfrak{g}}$. Geometrically, these are D5 branes wrapping 2-cycles of the singularity. Equivalently, the defects are specified by a certain set of weights of $^L {\\mathfrak{g}}$, the Langlands dual of ${\\mathfrak{g}}$. As a first application, we show that the partition function of the ${\\mathfrak{g}}$-type quiver gauge theory on the defect is equal to the 3-point conformal block of the ${\\mathfrak{g}}$-type $q$-deformed Toda theory in the Coulomb gas formalism. As a second application, we make contact with Bala--Carter theory to show that in the CFT limit, the Coulomb branch of the defects flows to a nilpotent orbit of ${\\mathfrak{g}}$, and that all nilpotent orbits of ${\\mathfrak{g}}$ arise in this way.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-29T19:23:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nilpotent orbit",
      "type quiver gauge theory",
      "type iib string theory",
      "simple lie algebra",
      "coulomb gas formalism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 61,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}