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  "authors": [
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      "affiliations": [
        {
          "country": "Russia", 
          "value": "Institute for Theoretical and Experimental Physics (ITEP), Moscow, 117218, Russia", 
          "organization": "Institute for Theoretical and Experimental Physics (ITEP)"
        }, 
        {
          "country": "Russia", 
          "value": "Institute for Information Transmission Problems (IITP), Moscow, 127994, Russia", 
          "organization": "Institute for Information Transmission Problems (IITP)"
        }, 
        {
          "country": "Russia", 
          "value": "Moscow Institute of Physics and Technology (MIPT), Dolgoprudny, 141701, Russia", 
          "organization": "Moscow Institute of Physics and Technology (MIPT)"
        }
      ], 
      "surname": "Morozov", 
      "email": "morozov.itep@mail.ru", 
      "full_name": "Morozov, A.", 
      "given_names": "A."
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "A new kind of anomaly: on W-constraints for GKM"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP10(2021)213"
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      "page_end": "19", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2021", 
      "artid": "JHEP10(2021)213", 
      "year": 2021, 
      "page_start": "1", 
      "journal_issue": "10"
    }
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      "license": "CC-BY-4.0"
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  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2021"
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  "control_number": "65605", 
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      "primary": "Journal of High Energy Physics"
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  "arxiv_eprints": [
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      "categories": [
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        "math.MP"
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      "value": "2108.07198"
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  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "We look for the origins of the single equation, which is a peculiar combination of W-constrains, which provides the non-abelian W-representation for generalized Kontsevich model (GKM), i.e. is enough to fix the partition function unambiguously. Namely we compare it with the scalar projection of the matrix Ward identity. It turns out that, though similar, the two equations do not coincide, moreover, the latter one is non-polynomial in time-variables. This discrepancy disappears for the cubic model if partition function is reduced to depend on odd times (belong to KdV sub-hierarchy of KP), but in general such reduction is not enough. We consider the failure of such direct interpretation of the \u201csingle equation\u201d as a new kind of anomaly, which should be explained and eliminated in the future analysis of GKM."
    }
  ], 
  "imprints": [
    {
      "date": "2021-10-26", 
      "publisher": "Springer"
    }
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