{
  "id": "1708.01795",
  "version": "v1",
  "published": "2017-08-05T17:57:31.000Z",
  "updated": "2017-08-05T17:57:31.000Z",
  "title": "Multiplicative slices, relativistic Toda and shifted quantum affine algebras",
  "authors": [
    "Michael Finkelberg",
    "Alexander Tsymbaliuk"
  ],
  "comment": "125 pages",
  "categories": [
    "math.RT",
    "math-ph",
    "math.AG",
    "math.MP",
    "math.QA"
  ],
  "abstract": "We introduce the shifted quantum affine algebras. They map homomorphically into the quantized Coulomb branches of $4d\\ {\\mathcal N}=2$ SUSY quiver gauge theories. In type $A$, they are endowed with a coproduct, and they act on the equivariant $K$-theory of parabolic Laumon spaces. In type $A_1$, they are closely related to the open relativistic quantum Toda of type $A$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-05T17:57:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "shifted quantum affine algebras",
      "relativistic toda",
      "multiplicative slices",
      "susy quiver gauge theories",
      "open relativistic quantum toda"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 125,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}