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ABJ theory in the higher spin limit

  • Regular Article - Theoretical Physics
  • Open access
  • Published: 31 August 2016
  • Volume 2016, article number 174, (2016)
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ABJ theory in the higher spin limit
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  • Shinji Hirano1,
  • Masazumi Honda2 nAff6,
  • Kazumi Okuyama3 &
  • …
  • Masaki Shigemori4,5 

  • 369 Accesses

  • 9 Citations

  • 2 Altmetric

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A preprint version of the article is available at arXiv.

Abstract

We study the conjecture made by Chang, Minwalla, Sharma, and Yin on the duality between the \( \mathcal{N}=6 \) Vasiliev higher spin theory on AdS4 and the \( \mathcal{N}=6 \) Chern-Simons-matter theory, so-called ABJ theory, with gauge group U(N) × U(N + M). Building on our earlier results on the ABJ partition function, we develop the systematic 1/M expansion, corresponding to the weak coupling expansion in the higher spin theory, and compare the leading 1/M correction, with our proposed prescription, to the one-loop free energy of the \( \mathcal{N}=6 \) Vasiliev theory. We find an agreement between the two sides up to an ambiguity that appears in the bulk one-loop calculation.

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  1. Masazumi Honda

    Present address: Department of Particle Physics and Astrophysics, Weizmann Institute of Science, Rehovot, 7610001, Israel

Authors and Affiliations

  1. School of Physics and Mandelstam Institute for Theoretical Physics, and DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), University of the Witwatersrand, WITS 2050, Johannesburg, South Africa

    Shinji Hirano

  2. Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad, 211019, India

    Masazumi Honda

  3. Department of Physics, Shinshu University, Matsumoto, 390-8621, Japan

    Kazumi Okuyama

  4. Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto, 606-8502, Japan

    Masaki Shigemori

  5. Hakubi Center, Kyoto University, Yoshida-Ushinomiya-cho, Sakyo-ku, Kyoto, 606-8501, Japan

    Masaki Shigemori

Authors
  1. Shinji Hirano
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  2. Masazumi Honda
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  4. Masaki Shigemori
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Correspondence to Masazumi Honda.

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ArXiv ePrint: 1504.00365

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Hirano, S., Honda, M., Okuyama, K. et al. ABJ theory in the higher spin limit. J. High Energ. Phys. 2016, 174 (2016). https://doi.org/10.1007/JHEP08(2016)174

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  • Received: 08 June 2016

  • Accepted: 16 August 2016

  • Published: 31 August 2016

  • DOI: https://doi.org/10.1007/JHEP08(2016)174

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Keywords

  • AdS-CFT Correspondence
  • Chern-Simons Theories
  • Higher Spin Gravity
  • Supersymmetric gauge theory
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