Higher Spin Gauge Theory and Holography: The Three-Point Functions

Details Higher Spin Gauge Theory and Holography: The Three-Point Functions Higher Spin Gauge Theory and Holography: The Three-Point Functions

2009-12-17

arxiv.org/abs/0912.3462v4

Physics

High Energy Physics

High Energy Physics - Theory

90 pages, 5 figures; v4, minor changes in the introduction

Scientific paper

In this paper we calculate the tree level three-point functions of Vasiliev's higher spin gauge theory in AdS4 and find agreement with the correlators of the free field theory of N massless scalars in three dimensions in the O(N) singlet sector. This provides substantial evidence that Vasiliev theory is dual to the free field theory, thus verifying a conjecture of Klebanov and Polyakov. We also find agreement with the critical O(N) vector model, when the bulk scalar field is subject to the alternative boundary condition such that its dual operator has classical dimension 2.

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