Hidden sectors of Chern-Simons Matter theories and Exact Holography

TL;DR

This paper explores the connection between chiral higher-spin gravity and Chern-Simons matter theories, identifying subsectors that could lead to exactly solvable holographic dual pairs involving self-dual theories.

Contribution

It makes initial progress in identifying (anti-)chiral subsectors of Chern-Simons matter theories directly on the CFT side, advancing the understanding of their holographic duals.

Findings

Identification of two closed subsectors in Chern-Simons matter theories.

Discussion of the relation to self-dual Yang-Mills and self-dual gravity.

Implications for exactly soluble holographic dual pairs.

Abstract

Chiral higher-spin gravity is a higher-spin extension of both self-dual Yang-Mills and self-dual gravity and is a unique local higher-spin gravity in four dimensions. Its existence implies that there are two closed subsectors in Chern-Simons matter theories. We make first steps in identifying these (anti-)chiral subsectors directly on the CFT side, which should result in a holographically dual pair where both sides are nontrivial, complete, yet exactly soluble. We also discuss closely related theories: self-dual Yang-Mills (SDYM) and self-dual gravity (SDGR) in the holographic context.