{
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  "authors": [
    {
      "affiliations": [
        {
          "country": "Iran", 
          "value": "Department of Physics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, Tabriz, 53714-161, Iran", 
          "organization": "Azarbaijan Shahid Madani University"
        }
      ], 
      "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, Tabriz, 53714-161, Iran", 
          "organization": "Azarbaijan Shahid Madani University"
        }
      ], 
      "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, Tabriz, 53714-161, Iran", 
          "organization": "Azarbaijan Shahid Madani University"
        }
      ], 
      "surname": "Rezaei-Aghdam", 
      "email": "rezaei-a@azaruniv.ac.ir", 
      "full_name": "Rezaei-Aghdam, Adel", 
      "given_names": "Adel"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "Yang-Baxter deformations of the  $$GL(2,{\\mathbb {R}})$$  <math> <mrow> <mi>G</mi> <mi>L</mi> <mo>(</mo> <mn>2</mn> <mo>,</mo> <mi>R</mi> <mo>)</mo> </mrow> </math>   WZW model and non-Abelian T-duality"
    }
  ], 
  "dois": [
    {
      "value": "10.1140/epjc/s10052-023-12084-8"
    }
  ], 
  "publication_info": [
    {
      "page_end": "12", 
      "journal_title": "European Physical Journal C", 
      "material": "article", 
      "journal_volume": "83", 
      "artid": "s10052-023-12084-8", 
      "year": 2023, 
      "page_start": "1", 
      "journal_issue": "10"
    }
  ], 
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    "date": "2024-03-23T00:30:47.894590", 
    "source": "Springer", 
    "method": "Springer", 
    "submission_number": "7ba03dd0e8ac11eeae4696b6a0e1ccbd"
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  "page_nr": [
    12
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  "license": [
    {
      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2023"
    }
  ], 
  "control_number": "80818", 
  "record_creation_date": "2023-10-11T12:30:12.859614", 
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  "collections": [
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      "primary": "European Physical Journal C"
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  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "By calculating inequivalent classical r-matrices for the  $$gl(2,{\\mathbb {R}})$$  <math> <mrow> <mi>g</mi> <mi>l</mi> <mo>(</mo> <mn>2</mn> <mo>,</mo> <mi>R</mi> <mo>)</mo> </mrow> </math>   Lie algebra as solutions of (modified) classical Yang-Baxter equation ((m)CYBE), we classify the YB deformations of Wess-Zumino-Witten (WZW) model on the  $$GL(2,{\\mathbb {R}})$$  <math> <mrow> <mi>G</mi> <mi>L</mi> <mo>(</mo> <mn>2</mn> <mo>,</mo> <mi>R</mi> <mo>)</mo> </mrow> </math>   Lie group in twelve inequivalent families. Most importantly, it is shown that each of these models can be obtained from a Poisson-Lie T-dual  $$\\sigma $$  <math> <mi>\u03c3</mi> </math>  -model in the presence of the spectator fields when the dual Lie group is considered to be Abelian, i.e. all deformed models have Poisson-Lie symmetry just as undeformed WZW model on the  $$GL(2,{\\mathbb {R}})$$  <math> <mrow> <mi>G</mi> <mi>L</mi> <mo>(</mo> <mn>2</mn> <mo>,</mo> <mi>R</mi> <mo>)</mo> </mrow> </math>  . In this way, all deformed models are specified via spectator-dependent background matrices. For one case, the dual background is clearly found."
    }
  ], 
  "imprints": [
    {
      "date": "2023-10-11", 
      "publisher": "Springer"
    }
  ]
}