Higher Spin Gravity and Exact Holography

Abstract

In this talk, we present some direct evidences of the Higher Spin/Vector Model correspondence. There are two particular examples we would like to address on. The first example concerns a constructive approach of four dimensional higher spin theory from 3d O(N) vector model based on a bi-local formulation. These bi-local fields are seen to give a bulk description of the higher spin theory with extra dimension and interactions. The second example is a similar AdS_3/CFT_2 duality put forward by Gaberdiel and Gopakumar. Specifically, we are interested in black hole solutions carrying nonzero higher spin charges. The partition function of the general hs[λ] higher spin black hole is computed from the CFT side using the W_\infty[λ] symmetry and we found a perfect agreement with the gravity result.

arXiv comment24 pages, 2 figures; Proceedings of the XVIII European Workshop on String Theory, Corfu, Greece, September 19 - 27, 2012; v2: minor changes, two references added

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Cited by in corpus (2)

• The $\mathcal{N}=1$ algebra ${\mathcal{W}}_{\infty }[\mu ]$ and its truncations
• Non-Minimal Higher-Spin DS4/CFT3