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3d superconformal indices and isomorphisms of M2-brane theories

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Abstract

We test several expected isomorphisms between the U(N) × U(N) ABJM theory and (SU(N) × SU(N))/\( {{\mathbb{Z}}_N} \) theory including the BLG theory by comparing their superconformal indices. From moduli space analysis, it is expected that this equivalence can hold if and only if the rank N and Chern-Simons level k are coprime. We also calculate the index of the ABJ theory and investigate whether some theories with identical moduli spaces are isomorphic or not.

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Authors and Affiliations

  1. Department of Particle and Nuclear Physics, Graduate University for Advanced Studies (SOKENDAI), Tsukuba, Ibaraki, 305-0801, Japan

    Masazumi Honda

  2. High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, 305-0801, Japan

    Masazumi Honda & Yoshinori Honma

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

    Yoshinori Honma

Authors
  1. Masazumi Honda
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  2. Yoshinori Honma
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Correspondence to Masazumi Honda.

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ArXiv ePrint: 1210.1371

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Honda, M., Honma, Y. 3d superconformal indices and isomorphisms of M2-brane theories. J. High Energ. Phys. 2013, 159 (2013). https://doi.org/10.1007/JHEP01(2013)159

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  • DOI: https://doi.org/10.1007/JHEP01(2013)159

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