Hidden sectors of Chern-Simons matter theories and exact holography

Abstract

Nontrivial conformal field theories are rare. Motivated by the recent construction of a local higher-spin gravity in AdS4—chiral higher-spin gravity—we begin to identify its anti–de Sitter/conformal field theory (AdS/CFT) dual theory that has to be a closed subsector of Chern-Simons matter theories, thereby shedding more light on this class of CFTs and the dualities that relate them. We show that at the level of two- and three-point functions the sub-CFT can be defined as a limit of Chern-Simons matter theories where only correlators with the total positive (or negative) helicity are kept. We also discuss extension to higher orders and list a number of nontrivial predictions from the bulk.