New Massive Gravity Domain Walls

TL;DR

This paper investigates flat domain wall solutions in New Massive 3D Gravity with scalar matter, analyzing their properties using BPS-like equations, boundary stress-tensors, and holographic RG flows to understand dual CFT2 phase transitions.

Contribution

It introduces a method to study domain walls in New Massive Gravity using superpotentials and holographic techniques, providing new insights into their boundary duals and phase structure.

Findings

Computed domain wall tensions and central charges of dual CFT2

Analyzed holographic RG flows and phase transitions in deformed CFT2

Established relations between superpotential forms and phase behavior

Abstract

The properties of the asymptotic $AdS_3$ space-times representing flat domain walls (DW's) solutions of the New Massive 3D Gravity with scalar matter are studied. Our analysis is based on $I^{st}$ order BPS-like equations involving an appropriate superpotential. The Brown-York boundary stress-tensor is used for the calculation of DW's tensions as well as of the $CFT_2$'s central charges. The holographic renormalization group flows and the phase transitions in specific deformed $CFT_2$ dual to 3D massive gravity model with quadratic superpotential are discussed.