AdS/CFT, Multitrace Deformations and New Instabilities of Nonlocal String Theories

TL;DR

This paper investigates how multitrace deformations in large N models with a mass gap can induce tachyonic instabilities, revealing new local instabilities in nonlocal string theories and affecting phase transitions in Dp-brane systems.

Contribution

It determines conditions under which multitrace couplings cause tachyonic instabilities and explores their impact on phase diagrams of Dp-branes at finite temperature.

Findings

Multitrace deformations can trigger tachyonic instabilities.

These instabilities are new local instabilities in nonlocal string theories.

Multitrace perturbations influence topology-changing phase transitions.

Abstract

We study "multitrace" deformations of large N master fields in models with a mass gap. In particular, we determine the conditions for the multitrace couplings to drive tachyonic instabilities. These tachyons represent new local instabilities of the associated nonlocal string theories. In the particular case of Dp-branes at finite temperature, we consider topology-changing phase transitions and the effect of multitrace perturbations on the corresponding phase diagrams.