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      "holder": "The Author(s)", 
      "statement": "The Author(s)", 
      "year": "2022"
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      "affiliations": [
        {
          "country": "Canada", 
          "value": "Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada"
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      ], 
      "surname": "Creutzig", 
      "email": "creutzig@ualberta.ca", 
      "full_name": "Creutzig, Thomas", 
      "given_names": "Thomas"
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    {
      "surname": "Hikida", 
      "given_names": "Yasuaki", 
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, Japan"
        }
      ], 
      "full_name": "Hikida, Yasuaki", 
      "orcid": "0000-0001-7770-1815", 
      "email": "yhikida@yukawa.kyoto-u.ac.jp"
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  "titles": [
    {
      "source": "Elsevier", 
      "title": "FZZ-triality and large super Liouville theory"
    }
  ], 
  "collections": [
    {
      "primary": "Nuclear Physics B"
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  "publication_info": [
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      "journal_volume": "977 C", 
      "journal_title": "Nuclear Physics B", 
      "material": "article", 
      "artid": "115734", 
      "year": 2022
    }
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  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "abstracts": [
    {
      "source": "Elsevier", 
      "value": "We examine dualities of two dimensional conformal field theories by applying the methods developed in previous works. We first derive the duality between <math><mi>S</mi><mi>L</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>|</mo><mn>1</mn><mo>)</mo></mrow><mrow><mi>k</mi></mrow></msub><mo>/</mo><mo>(</mo><mi>S</mi><mi>L</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow><mrow><mi>k</mi></mrow></msub><mo>\u2297</mo><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo><mo>)</mo></math> coset and Witten's cigar model or sine-Liouville theory. The latter two models are Fateev-Zamolodchikov-Zamolodchikov (FZZ-)dual to each other, hence the relation of the three models is named FZZ-triality. These results are used to study correlator correspondences between large <math><mi>N</mi><mo>=</mo><mn>4</mn></math> super Liouville theory and a coset of the form <math><mi>Y</mi><mo>(</mo><msub><mrow><mi>k</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>k</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>)</mo><mo>/</mo><mi>S</mi><mi>L</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow><mrow><msub><mrow><mi>k</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>+</mo><msub><mrow><mi>k</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></msub></math>, where <math><mi>Y</mi><mo>(</mo><msub><mrow><mi>k</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>k</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>)</mo></math> consists of two <math><mi>S</mi><mi>L</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>|</mo><mn>1</mn><mo>)</mo></mrow><mrow><msub><mrow><mi>k</mi></mrow><mrow><mi>i</mi></mrow></msub></mrow></msub></math> and free bosons or equivalently two <math><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></math> cosets of <math><mi>D</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>;</mo><msub><mrow><mi>k</mi></mrow><mrow><mi>i</mi></mrow></msub><mo>\u2212</mo><mn>1</mn><mo>)</mo></math> at level one. These correspondences are a main result of this paper. The FZZ-triality acts as a seed of the correspondence, which in particular implies a hidden <math><mi>S</mi><mi>L</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow><mrow><msup><mrow><mi>k</mi></mrow><mrow><mo>\u2032</mo></mrow></msup></mrow></msub></math> in <math><mi>S</mi><mi>L</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>|</mo><mn>1</mn><mo>)</mo></mrow><mrow><mi>k</mi></mrow></msub></math> or <math><mi>D</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>;</mo><mi>k</mi><mo>\u2212</mo><mn>1</mn><mo>)</mo></mrow><mrow><mn>1</mn></mrow></msub></math>. The relation of levels is <math><msup><mrow><mi>k</mi></mrow><mrow><mo>\u2032</mo></mrow></msup><mo>\u2212</mo><mn>1</mn><mo>=</mo><mn>1</mn><mo>/</mo><mo>(</mo><mi>k</mi><mo>\u2212</mo><mn>1</mn><mo>)</mo></math>. We also construct boundary actions in sine-Liouville theory as another use of the FZZ-triality. Furthermore, we generalize the FZZ-triality to the case with <math><mi>S</mi><mi>L</mi><msub><mrow><mo>(</mo><mi>n</mi><mo>|</mo><mn>1</mn><mo>)</mo></mrow><mrow><mi>k</mi></mrow></msub><mo>/</mo><mo>(</mo><mi>S</mi><mi>L</mi><msub><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow><mrow><mi>k</mi></mrow></msub><mo>\u2297</mo><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo><mo>)</mo></math> for arbitrary <math><mi>n</mi><mo>&gt;</mo><mn>2</mn></math>."
    }
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      "date": "2022-03-15", 
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