Perturbative and Non-Perturbative Aspects in Vector Model/Higher Spin Duality
Abstract
We review some recent work on AdS/CFT duality involving the 3d O(N) Vector Model and AdS4 Higher Spin Gravity. Our construction is based on bi-local collective field theory which provides an off-shell formulation of Higher Spin Gravity with G = 1/N playing the role of a coupling constant. Consequently perturbative and non-perturbative issues of the theory can be studied. For the correspondence based on free CFT's we discuss the nature of bulk 1/N interactions through an S-matrix which is argued to be equal to 1 (Coleman-Mandula theorem). As a consequence in this class of theories nonlinearities are removable, through a nonlinear field transformation which we show at the exact level. We also describe a geometric (Kahler space) framework for the bi-local theory which applies equally simple to Sp(2N) fermions and the de Sitter correspondence. We discuss in this framework the structure and size of the bi-local Hilbert space and the implementation of (finite N) exclusion principle.
Cite
@article{arxiv.1212.5215,
title = {Perturbative and Non-Perturbative Aspects in Vector Model/Higher Spin Duality},
author = {Antal Jevicki and Kewang Jin and Qibin Ye},
journal= {arXiv preprint arXiv:1212.5215},
year = {2015}
}
Comments
21 pages, 3 figures; Contribution to J. Phys. A special volume on "Higher Spin Theories and AdS/CFT" edited by M. R. Gaberdiel and M. Vasiliev; v2: references updated