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      "affiliations": [
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          "country": "South Korea", 
          "value": "Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Korea", 
          "organization": "Sungkyunkwan University"
        }
      ], 
      "surname": "Jang", 
      "email": "dongmin@skku.edu", 
      "full_name": "Jang, Dongmin", 
      "given_names": "Dongmin"
    }, 
    {
      "affiliations": [
        {
          "country": "South Korea", 
          "value": "Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Korea", 
          "organization": "Sungkyunkwan University"
        }
      ], 
      "surname": "Kim", 
      "email": "yoonbai@skku.edu", 
      "full_name": "Kim, Yoonbai", 
      "given_names": "Yoonbai"
    }, 
    {
      "affiliations": [
        {
          "country": "South Korea", 
          "value": "Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Korea", 
          "organization": "Sungkyunkwan University"
        }
      ], 
      "surname": "Kwon", 
      "email": "okab@skku.edu", 
      "full_name": "Kwon, O-Kab", 
      "given_names": "O-Kab"
    }, 
    {
      "affiliations": [
        {
          "country": "South Korea", 
          "value": "Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Korea", 
          "organization": "Sungkyunkwan University"
        }, 
        {
          "country": "South Korea", 
          "value": "University College, Sungkyunkwan University, Suwon, 16419, Korea", 
          "organization": "Sungkyunkwan University"
        }
      ], 
      "surname": "Tolla", 
      "email": "ddtolla@skku.edu", 
      "full_name": "Tolla, D.", 
      "given_names": "D."
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "Holography of massive M2-brane theory with discrete torsion"
    }
  ], 
  "dois": [
    {
      "value": "10.1140/epjc/s10052-020-7704-5"
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      "journal_title": "European Physical Journal C", 
      "material": "article", 
      "journal_volume": "80", 
      "artid": "s10052-020-7704-5", 
      "year": 2020, 
      "page_start": "1", 
      "journal_issue": "3"
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    "source": "Springer", 
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    14
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      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
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  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2020"
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  "collections": [
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      "primary": "European Physical Journal C"
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  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "We investigate the gauge/gravity duality between the $$\\mathcal{N} = 6$$ <math><mrow><mi>N</mi><mo>=</mo><mn>6</mn></mrow></math>  mass-deformed ABJ theory with $$\\hbox {U}_k(N+l)\\times \\hbox {U}_{-k}(N)$$ <math><mrow><msub><mtext>U</mtext><mi>k</mi></msub><mrow><mo>(</mo><mi>N</mi><mo>+</mo><mi>l</mi><mo>)</mo></mrow><mo>\u00d7</mo><msub><mtext>U</mtext><mrow><mo>-</mo><mi>k</mi></mrow></msub><mrow><mo>(</mo><mi>N</mi><mo>)</mo></mrow></mrow></math>  gauge symmetry and the 11-dimensional supergravity on LLM geometries with SO(2,1) $$\\times $$ <math><mo>\u00d7</mo></math>  SO(4)/$${\\mathbb Z}_k\\times $$ <math><mrow><msub><mi>Z</mi><mi>k</mi></msub><mo>\u00d7</mo></mrow></math>  SO(4)/$${{\\mathbb {Z}}}_k$$ <math><msub><mi>Z</mi><mi>k</mi></msub></math>  isometry and the discrete torsion l. For chiral primary operators with conformal dimensions $$\\Delta =1,2$$ <math><mrow><mi>\u0394</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></math> , we obtain the exact vacuum expectation values using the holographic method in 11-dimensional supergravity and show that the results depend on the shapes of droplet pictures in LLM geometries. The $$\\frac{l}{\\sqrt{N}}$$ <math><mfrac><mi>l</mi><msqrt><mi>N</mi></msqrt></mfrac></math>  contributions from the discrete torsion l for several simple droplet pictures in the large N limit are determined in holographic vacuum expectation values. We also explore the effects of the orbifolding $${{\\mathbb {Z}}}_k$$ <math><msub><mi>Z</mi><mi>k</mi></msub></math>  and the asymptotic discrete torsion l, on the gauge/gravity duality dictionary and on the nature of the asymptotic limits of the LLM geometries."
    }
  ], 
  "imprints": [
    {
      "date": "2020-05-18", 
      "publisher": "Springer"
    }
  ]
}