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arXiv · 1212.5215

Perturbative and Non-Perturbative Aspects in Vector Model/Higher Spin Duality

Antal Jevicki·Kewang Jin·Qibin Ye
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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.

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Antal Jevicki, Kewang Jin, Qibin Ye. 2012-12-20. Perturbative and Non-Perturbative Aspects in Vector Model/Higher Spin Duality. https://doi.org/10.1088/1751-8113/46/21/214005

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