{
  "_oai": {
    "updated": "2018-05-02T13:48:31Z", 
    "id": "oai:repo.scoap3.org:22044"
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  "authors": [
    {
      "raw_name": "Blumenhagen, Ralph", 
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Max-Planck-Institut f\u00fcr Physik (Werner-Heisenberg-Institut), F\u00f6hringer Ring 6, 80805, M\u00fcnchen, Germany"
        }
      ], 
      "surname": "Blumenhagen", 
      "given_names": "Ralph", 
      "full_name": "Blumenhagen, Ralph"
    }, 
    {
      "raw_name": "Fuchs, Michael", 
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Max-Planck-Institut f\u00fcr Physik (Werner-Heisenberg-Institut), F\u00f6hringer Ring 6, 80805, M\u00fcnchen, Germany"
        }
      ], 
      "surname": "Fuchs", 
      "given_names": "Michael", 
      "full_name": "Fuchs, Michael"
    }, 
    {
      "raw_name": "Traube, Matthias", 
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Max-Planck-Institut f\u00fcr Physik (Werner-Heisenberg-Institut), F\u00f6hringer Ring 6, 80805, M\u00fcnchen, Germany"
        }
      ], 
      "surname": "Traube", 
      "given_names": "Matthias", 
      "full_name": "Traube, Matthias"
    }
  ], 
  "titles": [
    {
      "source": "Springer/SISSA", 
      "title": "On the structure of quantum L \u221e algebras"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP10(2017)163"
    }
  ], 
  "publication_info": [
    {
      "page_start": "163", 
      "material": "article", 
      "journal_title": "Journal of High Energy Physics", 
      "year": 2017
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2017-10-24T00:00:00", 
    "source": "Springer/SISSA", 
    "method": "scoap3", 
    "submission_number": "d0e9dd1c4e0411e88b5202163e01809a"
  }, 
  "page_nr": [
    21
  ], 
  "license": [
    {
      "url": "http://creativecommons.org/licenses/by/4.0/", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "statement": "The Author(s)"
    }
  ], 
  "control_number": "22044", 
  "record_creation_date": "2017-10-24T00:00:00", 
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      "bucket": "e7e3392b-518b-40e0-ad75-da248d78c7ae", 
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      "size": 69770
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  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-th", 
        "math-ph", 
        "math.MP"
      ], 
      "value": "1706.09034"
    }
  ], 
  "abstracts": [
    {
      "source": "Springer/SISSA", 
      "value": "It is believed that any classical gauge symmetry gives rise to an L \u221e algebra. Based on the recently realized relation between classical W $$ \\mathcal{W} $$ algebras and L \u221e algebras, we analyze how this generalizes to the quantum case. Guided by the existence of quantum W algebras, we provide a physically well motivated definition of quantum L \u221e algebras describing the consistency of global symmetries in quantum field theories. In this case we are restricted to only two non-trivial graded vector spaces X 0 and X \u22121 containing the symmetry variations and the symmetry generators. This quantum L \u221e algebra structure is explicitly exemplified for the quantum W 3 $$ {\\mathcal{W}}_3 $$ algebra. The natural quantum product between fields is the normal ordered one so that, due to contractions between quantum fields, the higher L \u221e relations receive off-diagonal quantum corrections. Curiously, these are not present in the loop L \u221e algebra of closed string field theory."
    }
  ], 
  "imprints": [
    {
      "date": "2017-10-24", 
      "publisher": "Springer/SISSA"
    }
  ]
}