Holographic Phase Transitions in (2+1)-dimensional black hole spacetimes in NMG

TL;DR

This paper investigates holographic phase transitions in (2+1)-dimensional black hole spacetimes with Lifshitz scaling, using New Massive Gravity solutions to analyze phase behavior in dual (1+1)-dimensional systems.

Contribution

It introduces the study of Lifshitz scaling effects on holographic phase transitions within NMG black holes, highlighting a second order transition in dual 1+1D systems.

Findings

Lifshitz scaling influences phase transition characteristics.

The AGGH solution exhibits distinct phase behavior compared to BTZ.

A second order phase transition is identified in the dual boundary system.

Abstract

In this work we aim at the question of holographic phase transitions in two dimensional systems with Lifshitz scaling. We consider the gravity side candidate for a dual description as the black hole solution of New Massive Gravity (NMG) with Lifshitz scaling. We discuss the effects due to the Lifshitz scaling in the AGGH (Ayon-Beato-Garbarz-Giribet-Hassa\"i{\i}ne) solution in comparison with the BTZ (Ba\~nados-Teitelboim-Zanelli) black hole. Likewise, we compute the order parameter and it indicates a second order phase transition in a (1+1) dimension Lifshitz boundary.