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Refined test of AdS 4 /CFT 3 correspondence for \( \mathcal{N} = 2,3 \) theories

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Abstract

We investigate the superconformal indices for the Chern-Simons-matter theories proposed for M2-branes probing the cones over \( {{{{N^{010}}}} \left/ {{{\mathbb{Z}_k}}} \right.} \), Q 111, M 32 with \( \mathcal{N} = 2,3 \) supersymmetries and compare them with the corresponding dual gravity indices. For N 010, we find perfect agreements. In addition, for \( {{{{N^{010}}}} \left/ {{{\mathbb{Z}_k}}} \right.} \), we also find an agreement with the gravity index including the contributions from two types of D6-branes wrapping \( \mathbb{R}{\mathbb{P}^3} \). For Q 111, we find that the model obtained by adding fundamental flavors to the \( \mathcal{N} = 6 \) theory has the right structure to be the correct model. For M 32, we find the matching with the gravity index modulo contributions from peculiar saddle points.

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Authors and Affiliations

  1. Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, Seoul, 151–747, Korea

    Sangmo Cheon, Dongmin Gang & Seok Kim

  2. Korea Institute for Advanced Study, Seoul, 130–012, Korea

    Dongmin Gang

  3. Department of Physics & Center for Theoretical Physics (PCTP), POSTECH, Pohang, 790–784, Korea

    Jaemo Park

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  1. Sangmo Cheon
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  2. Dongmin Gang
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  3. Seok Kim
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  4. Jaemo Park
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Correspondence to Jaemo Park.

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ArXiv ePrint:1102.4273[hep-th]

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Cheon, S., Gang, D., Kim, S. et al. Refined test of AdS 4 /CFT 3 correspondence for \( \mathcal{N} = 2,3 \) theories. J. High Energ. Phys. 2011, 27 (2011). https://doi.org/10.1007/JHEP05(2011)027

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