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  "authors": [
    {
      "affiliations": [
        {
          "country": "South Korea", 
          "value": "Department of Physics, BK21 Physics Research Division, Institute of Basic Science, Sungkyunkwan University, Suwon, 440-746, South 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, Institute of Basic Science, Sungkyunkwan University, Suwon, 440-746, South 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, Institute of Basic Science, Sungkyunkwan University, Suwon, 440-746, South 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, Institute of Basic Science, Sungkyunkwan University, Suwon, 440-746, South Korea", 
          "organization": "Sungkyunkwan University"
        }, 
        {
          "country": "South Korea", 
          "value": "University College, Sungkyunkwan University, Suwon, 440-746, South Korea", 
          "organization": "University College, 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: non-linear extension"
    }
  ], 
  "dois": [
    {
      "value": "10.1140/epjc/s10052-018-6324-9"
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  "publication_info": [
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      "page_end": "16", 
      "journal_title": "European Physical Journal C", 
      "material": "article", 
      "journal_volume": "78", 
      "artid": "s10052-018-6324-9", 
      "year": 2018, 
      "page_start": "1", 
      "journal_issue": "10"
    }
  ], 
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    "source": "Springer", 
    "method": "Springer", 
    "submission_number": "27e6b408fbda11e981ff02163e01809a"
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  "page_nr": [
    16
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2018"
    }
  ], 
  "control_number": "43491", 
  "record_creation_date": "2018-11-16T14:50:28.055862", 
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  "collections": [
    {
      "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 ABJM theory with $$\\hbox {U}_k(N)\\times \\hbox {U}_{-k}(N)$$ <math><mrow><msub><mtext>U</mtext><mi>k</mi></msub><mrow><mo>(</mo><mi>N</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)/$${\\mathbb {Z}}_k$$ <math><msub><mi>Z</mi><mi>k</mi></msub></math>  $$\\times $$ <math><mo>\u00d7</mo></math> SO(4)/$${\\mathbb {Z}}_k$$ <math><msub><mi>Z</mi><mi>k</mi></msub></math>  isometry, in terms of a KK holography, which involves quadratic order field redefinitions. We establish the quadratic order KK mappings for various gauge invariant fields in order to obtain the canonical 4-dimensional gravity equations of motion and to reduce the LLM solutions to an asymptotically AdS$$_4$$ <math><msub><mrow></mrow><mn>4</mn></msub></math>  gravity solutions. The non-linearity of the KK maps indicates that we can observe the true purpose of the non-linear KK holography of the LLM solutions. We read the vacuum expectation value of conformal dimension two operator from the asymptotically AdS$$_4$$ <math><msub><mrow></mrow><mn>4</mn></msub></math>  gravity solutions. For the LLM solutions which are represented by square-shaped Young diagrams, we compare the vacuum expectation value obtained from the holographic procedure with the result obtained from the field theory, which is given by $$\\langle \\mathcal{O}^{(\\Delta =2)}\\rangle =\\sqrt{k}N^{\\frac{3}{2}}f_{(\\Delta =2)}+\\mathcal{O}(N)$$ <math><mrow><mrow><mo>\u27e8</mo><msup><mrow><mi>O</mi></mrow><mrow><mo>(</mo><mi>\u0394</mi><mo>=</mo><mn>2</mn><mo>)</mo></mrow></msup><mo>\u27e9</mo></mrow><mo>=</mo><msqrt><mi>k</mi></msqrt><msup><mi>N</mi><mfrac><mn>3</mn><mn>2</mn></mfrac></msup><msub><mi>f</mi><mrow><mo>(</mo><mi>\u0394</mi><mo>=</mo><mn>2</mn><mo>)</mo></mrow></msub><mo>+</mo><mi>O</mi><mrow><mo>(</mo><mi>N</mi><mo>)</mo></mrow></mrow></math> , where $$f_{\\Delta }$$ <math><msub><mi>f</mi><mi>\u0394</mi></msub></math>  is independent of N. Based on this result, we examine the gauge/gravity duality in the large N limit and finite k. We also show that the vacuum expectation values of the massive KK graviton modes are vanishing as expected by the supersymmetry."
    }
  ], 
  "imprints": [
    {
      "date": "2018-11-13", 
      "publisher": "Springer"
    }
  ]
}