Extended higher spin holography and Grassmannian models

TL;DR

This paper proposes holographic dualities between extended higher spin gravity theories with Chan-Paton factors on AdS_3 and large N Grassmannian models, providing evidence through symmetry analysis and partition function matching.

Contribution

It extends known higher spin holography to include Chan-Paton factors and explores connections to superstring theory via Grassmannian models and ABJ theory.

Findings

Higher spin symmetry in free Grassmannian models confirmed

Currents in the 't Hooft limit match bulk theory currents

Supergravity partition function reproduced by Grassmannian model

Abstract

We propose holographic dualities between higher spin gravity theories extended with Chan-Paton factor on AdS_3 and a large N limit of two dimensional Grassmannian models with and without supersymmetry. These proposals are natural extensions of the duality without Chan-Paton factor, and the extensions are motivated by a higher dimensional version of the duality, which implies a possible relation to superstring theory via ABJ theory. As evidence for the proposals, we show that the free limit of the Grassmannian models have the higher spin symmetry expected from the dual gravity theory. Furthermore, we construct currents in the 't Hooft limit of the supersymmetric Grassmannian model and compare them with the currents from the bulk theory. One-loop partition function of the supergravity theory is reproduced by the 't Hooft limit of the Grassmannian model after decoupling a gauge sector.