Interface Minimal Model Holography and Topological String Theory

TL;DR

This paper explores the holographic description of 2d fermion interfaces coupled to 3d Chern-Simons fields, connecting minimal model holography with topological string theory and revealing integrability properties.

Contribution

It provides an exact holographic match of sphere correlation functions for meson operators within a topological string theory framework, embedding minimal model holography into string theory.

Findings

Exact holographic correspondence for sphere correlators

Identification of integrability properties in the model

Embedding of minimal model holography into topological string theory

Abstract

We study the dynamics of 2d fermions coupled to 3d Chern-Simons gauge fields. For $SU(N)$ gauge group and fermions in the fundamental representation, the resulting interfaces are closely related to $W_N$ minimal models. We give an holographic description of the interfaces within the A-model Topological String Theory. The model has exotic integrability properties, which allow us to propose an exact holographic match of all sphere correlation functions of meson operators. This construction embeds Minimal Model Holography in String Theory.