Holographic dual of free field theory

TL;DR

This paper constructs a holographic dual for free quantum field theories in any dimension by reinterpreting the exact renormalization group, resulting in a higher spin gravity theory that reproduces all correlation functions.

Contribution

It provides a novel derivation of a higher spin gravity dual for free field theories using the exact renormalization group framework.

Findings

Dual theory reproduces all correlation functions

Higher spin gravity description derived from RG reinterpretation

Applicable to free theories in arbitrary dimensions

Abstract

We derive a holographic dual description of free quantum field theory in arbitrary dimensions, by reinterpreting the exact renormalization group, to obtain a higher spin gravity theory of the general type which had been proposed and studied as a dual theory. We show that the dual theory reproduces all correlation functions.