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  "authors": [
    {
      "affiliations": [
        {
          "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"
    }, 
    {
      "affiliations": [
        {
          "country": "Iran", 
          "value": "Department of Physics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, 53714-161, Tabriz, Iran"
        }
      ], 
      "surname": "Parvizi", 
      "email": "t.parvizi@azaruniv.ac.ir", 
      "full_name": "Parvizi, Tayebe", 
      "given_names": "Tayebe"
    }, 
    {
      "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 deformation of WZW model based on Lie supergroups: The cases of (1|1) and ( + )"
    }
  ], 
  "collections": [
    {
      "primary": "Physics Letters B"
    }
  ], 
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    {
      "value": "10.1016/j.physletb.2023.137727"
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  "publication_info": [
    {
      "journal_volume": "838 C", 
      "journal_title": "Physics Letters B", 
      "material": "article", 
      "artid": "137727", 
      "year": 2023
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "abstracts": [
    {
      "source": "Elsevier", 
      "value": "We proceed to generalize the Yang-Baxter (YB) deformation of Wess-Zumino-Witten (WZW) model to the Lie supergroups case. This generalization enables us to utilize various kinds of solutions of the (modified) graded classical Yang-Baxter equation ((m)GCYBE) to classify the YB deformations of WZW models based on the Lie supergroups. We obtain the inequivalent solutions (classical r-matrices) of the (m)GCYBE for the <math><mi>g</mi><mi>l</mi><mo>(</mo><mn>1</mn><mo>|</mo><mn>1</mn><mo>)</mo></math> and <math><mo>(</mo><msup><mrow><mi>C</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>+</mo><mi>A</mi><mo>)</mo></math> Lie superalgebras in the non-standard basis, in such a way that the corresponding automorphism transformations are employed. Then, the YB deformations of the WZW models based on the <math><mi>G</mi><mi>L</mi><mo>(</mo><mn>1</mn><mo>|</mo><mn>1</mn><mo>)</mo></math> and <math><mo>(</mo><msup><mrow><mi>C</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>+</mo><mi>A</mi><mo>)</mo></math> Lie supergroups are specified by skew-supersymmetric classical r-matrices satisfying (m)GCYBE. In some cases for both families of deformed models, the metrics remain invariant under the deformation, while the components of B-fields are changed. After checking the conformal invariance of the models up to one-loop order, it is concluded that the <math><mi>G</mi><mi>L</mi><mo>(</mo><mn>1</mn><mo>|</mo><mn>1</mn><mo>)</mo></math> and <math><mo>(</mo><msup><mrow><mi>C</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>+</mo><mi>A</mi><mo>)</mo></math> WZW models are conformal theories within the classes of the YB deformations preserving the conformal invariance. However, our results are interesting in themselves, but at a constructive level, may prompt many new insights into (generalized) supergravity solutions."
    }
  ], 
  "imprints": [
    {
      "date": "2023-03-20", 
      "publisher": "Elsevier"
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    "source": "Elsevier", 
    "method": "Elsevier", 
    "submission_number": "ee688f0cc71a11eda920065bd8dc6b20"
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