{
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      "year": "2021"
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  "authors": [
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        {
          "country": "Iran", 
          "value": "Department of Physics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, 53714-161, Tabriz, Iran"
        }
      ], 
      "surname": "Eghbali", 
      "email": "eghbali978@gmail.com", 
      "full_name": "Eghbali, Ali", 
      "given_names": "Ali"
    }, 
    {
      "surname": "Parvizi", 
      "given_names": "Tayebe", 
      "affiliations": [
        {
          "country": "Iran", 
          "value": "Department of Physics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, 53714-161, Tabriz, Iran"
        }
      ], 
      "full_name": "Parvizi, Tayebe", 
      "orcid": "0000-0002-0187-0054", 
      "email": "t.parvizi@azaruniv.ac.ir"
    }, 
    {
      "affiliations": [
        {
          "country": "Iran", 
          "value": "Department of Physics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, 53714-161, Tabriz, Iran"
        }
      ], 
      "surname": "Rezaei-Aghdam", 
      "email": "rezaei-a@azaruniv.ac.ir", 
      "full_name": "Rezaei-Aghdam, Adel", 
      "given_names": "Adel"
    }
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  "titles": [
    {
      "source": "Elsevier", 
      "title": "Yang-Baxter deformations of WZW model on the Heisenberg Lie group"
    }
  ], 
  "collections": [
    {
      "primary": "Nuclear Physics B"
    }
  ], 
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    {
      "value": "10.1016/j.nuclphysb.2021.115423"
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  "publication_info": [
    {
      "journal_volume": "967 C", 
      "journal_title": "Nuclear Physics B", 
      "material": "article", 
      "artid": "115423", 
      "year": 2021
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "abstracts": [
    {
      "source": "Elsevier", 
      "value": "The Yang-Baxter (YB) deformations of Wess-Zumino-Witten (WZW) model on the Heisenberg Lie group (<math><msub><mrow><mi>H</mi></mrow><mrow><mn>4</mn></mrow></msub></math>) are examined. We proceed to obtain the nonequivalent solutions of (modified) classical Yang-Baxter equation ((m)CYBE) for the <math><msub><mrow><mi>h</mi></mrow><mrow><mn>4</mn></mrow></msub></math> Lie algebra by using its corresponding automorphism transformation. Then we show that YB deformations of <math><msub><mrow><mi>H</mi></mrow><mrow><mn>4</mn></mrow></msub></math> WZW model are split into ten nonequivalent backgrounds including metric and B-field such that some of the metrics of these backgrounds can be transformed to the metric of <math><msub><mrow><mi>H</mi></mrow><mrow><mn>4</mn></mrow></msub></math> WZW model while the antisymmetric B-fields are changed. The rest of the deformed metrics have a different isometric group structure than the <math><msub><mrow><mi>H</mi></mrow><mrow><mn>4</mn></mrow></msub></math> WZW model metric. As an interesting result, it is shown that all new integrable backgrounds of the YB deformed <math><msub><mrow><mi>H</mi></mrow><mrow><mn>4</mn></mrow></msub></math> WZW model are conformally invariant up to two-loop order. In this way, we obtain the general form of the dilaton fields satisfying the vanishing beta-function equations of the corresponding \u03c3-models."
    }
  ], 
  "imprints": [
    {
      "date": "2021-04-28", 
      "publisher": "Elsevier"
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    "source": "Elsevier", 
    "method": "Elsevier", 
    "submission_number": "1413828eadb411eba0e30a580a641584"
  }
}