Holographic description of quantum field theory

TL;DR

This paper proposes a holographic duality between D-dimensional quantum field theories and (D+1)-dimensional local quantum theories, demonstrating this with the O(N) vector model and analyzing its phase transitions and critical behavior.

Contribution

It introduces a general holographic framework for D-dimensional quantum field theories, including those with higher-spin objects, and explicitly constructs a dual for the O(N) vector model.

Findings

Holographic duality constructed for the O(N) vector model

Phase transition and critical properties described holographically

Framework applicable to theories with higher-spin objects

Abstract

We propose that general D-dimensional quantum field theories are dual to (D+1)-dimensional local quantum theories which in general include objects with spin two or higher. Using a general prescription, we construct a (D+1)-dimensional theory which is holographically dual to the D-dimensional O(N) vector model. From the holographic theory, the phase transition and critical properties of the model in dimensions D>2 are described.