{
  "id": "1604.00046",
  "version": "v1",
  "published": "2016-03-31T20:40:08.000Z",
  "updated": "2016-03-31T20:40:08.000Z",
  "title": "Noncommutative geometry and the BV formalism: application to a matrix model",
  "authors": [
    "Roberta A. Iseppi",
    "Walter D. van Suijlekom"
  ],
  "comment": "18 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We analyze a U(2)-matrix model derived from a finite spectral triple. By applying the BV formalism, we find a general solution to the classical master equation. To describe the BV formalism in the context of noncommutative geometry, we define two finite spectral triples: the BV spectral triple and the BV auxiliary spectral triple. These are constructed from the gauge fields, ghost fields and anti-fields that enter the BV construction. We show that their fermionic actions add up precisely to the BV action. This approach allows for a geometric description of the ghost fields and their properties in terms of the BV spectral triple.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-31T20:40:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bv formalism",
      "noncommutative geometry",
      "matrix model",
      "bv spectral triple",
      "finite spectral triple"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1441264
    }
  }
}