Partition Functions and Casimir Energies in Higher Spin AdS d+1 /CFT d

@inproceedings{Giombi2014PartitionFA,
  title={Partition Functions and Casimir Energies in Higher Spin AdS d+1 /CFT d},
  author={Simone Giombi and Igor R. Klebanov and Arkady A. Tseytlin},
  year={2014}
}
Recently, the one-loop free energy of higher spin (HS) theories in Euclidean AdSd+1 was calculated and matched with the orderN 0 term in the free energy of the largeN \vectorial" scalar CFT on the S d boundary. Here we extend this matching to the boundary theory dened on S 1 S d 1 , where the length of S 1 may be interpreted as the inverse temperature. It has been shown that the large N limit of the partition function on S 1 S 2 in the U(N) singlet sector of the CFT of N free complex scalars… CONTINUE READING

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