Multitrace AdS/CFT and Master Field Dynamics

TL;DR

This paper investigates how multitrace deformations influence phase transitions in AdS/CFT models, revealing they can induce novel large-N first-order phase transitions in confining gauge theories.

Contribution

It demonstrates the effects of multitrace perturbations on phase structure and introduces a self-consistent Hartree approximation aligned with the multitrace prescription.

Findings

Multitrace deformations significantly alter phase diagrams.

New large-N first-order phase transitions can be triggered.

The Hartree approximation provides a consistent framework for analysis.

Abstract

We consider gauge theories with multitrace deformations in the context of certain AdS/CFT models with explicit breaking of conformal symmetry and supersymmetry. In particular, we study the standard four-dimensional confining model based on the D4-brane metric at finite temperature. We work in the self-consistent Hartree approximation, which becomes exact in the large-N limit and is equivalent to the AdS/CFT multitrace prescription that has been proposed in the literature. We show that generic multitrace perturbations have important effects on the phase structure of these models. Most notably they can induce new types of large-N first-order phase transitions.