Surveys in Differential Geometry
Volume 15 (2010)
Operator traces and holography
Pages: 131 – 162
We describe a version of AdS/CFT duality proposed by Sezgin, Sundell, Klebanov and Polyakov, between the O(N) model in two dimensions and Fradkin-Vasiliev higher spin gravity in three dimensions, and begin to reformulate it as a mathematical conjecture expressing traces of differential and pseudodifferential operators in terms of a classical boundary value problem in an infinite-component Chern-Simons theory.