Surveys in Differential Geometry

Volume 15 (2010)

Operator traces and holography

Pages: 131 – 162



Michael R. Douglas (Simons Center for Geometry and Physics and IHES)


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.

Published 1 January 2010