Supersymmetric states in M5/M2 CFTs

@article{Bhattacharyya2007SupersymmetricSI,
  title={Supersymmetric states in M5/M2 CFTs},
  author={Sayantani Bhattacharyya and Shiraz Minwalla},
  journal={Journal of High Energy Physics},
  year={2007},
  volume={2007},
  pages={004-004}
}
We propose an exact, finite N formula for the partition function over 1/4th BPS states in the conformal field theory on the world volume of N coincident M5 branes, and 1/8th BPS states in the theory of N conincident M2 branes. We obtain our partition function by performing the radial quantization of the Coulomb Branches of these theories and rederive the same formula from the quantization of supersymmetric giant and dual giant gravitons in AdS7 × S4 and AdS4 × S7. Our partition function is… 

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