Radial quantization of the 3d CFT and the higher spin/vector model duality
High Energy Physics - Theory
2015-03-24 v2
Abstract
We study the radial quantization of the 3d O(N) vector model. We calculate the higher spin charges whose commutation relations give the higher spin algebra. The Fock states of higher spin gravity in AdS_{4} are realized as the states in the 3d CFT. The inner products between these states encode dynamical information. The construction of bulk operators from CFT is discussed as well. This serves as the simplest explicit demonstration of the CFT definition for the quantum gravity.
Keywords
Cite
@article{arxiv.1312.1545,
title = {Radial quantization of the 3d CFT and the higher spin/vector model duality},
author = {Shan Hu and Tianjun Li},
journal= {arXiv preprint arXiv:1312.1545},
year = {2015}
}
Comments
40 pages; v2: the mistake on determinant operator corrected, extended discussion in section 6, references added