Can I read Partition Functions and Casimir Energies in Higher Spin AdS {d+1}/CFT d on EtoBox?

Partition Functions and Casimir Energies in Higher Spin AdS {d+1}/CFT d by Giombi, Simone; Klebanov, Igor R.; Tseytlin, Arkady A. is a scholarly article available to read on EtoBox.

What is Partition Functions and Casimir Energies in Higher Spin AdS {d+1}/CFT d about?

Recently, the one-loop free energy of higher spin (HS) theories in Euclidean AdS_{d+1} was calculated and matched with the order N^0 term in the free energy of the large N "vectorial" scalar CFT on the S^d boundary. Here we extend this matching to the boundary theory defined on S^1 x 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 x S^2 in the U(N) singlet sector of the CFT of N free complex scalars matches the one-loop thermal partition function of the Vasiliev theory in AdS_4, while in the O(N) singlet sector of the CFT of N real scalars it matches the minimal theory containing even spins only. We extend this matching to all dimensions d. We also calculate partition functions for the singlet sectors of free fermion CFT's in various dimensions and match them with appropriately defined higher spin theories, which for d>3 contain massless gauge fields with mixed symmetry. In the zero-temperature case R x S^{d-1} we calculate the Casimir energy in the scalar or fermionic CFT and match it with the one-loop correction in the global AdS_{d+1}. For any odd-dimensional CFT the Casimir

Author

Giombi, Simone; Klebanov, Igor R.; Tseytlin, Arkady A.

Published

2014

Language

EN