Refined test of AdS4/CFT3 correspondence for $ \mathcal{N} = 2,3 $ theories

@article{Cheon2011RefinedTO,
  title={Refined test of AdS4/CFT3 correspondence for \$ \mathcal\{N\} = 2,3 \$ theories},
  author={Sangmo Cheon and Dongmin Gang and Seok Kim and Jaemo Park},
  journal={Journal of High Energy Physics},
  year={2011},
  volume={2011},
  pages={1-33}
}
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.} $, Q111, M32 with $ \mathcal{N} = 2,3 $ supersymmetries and compare them with the corresponding dual gravity indices. For N010, 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… CONTINUE READING

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