Self-Duality from New Massive Gravity Holography

TL;DR

This paper explores holographic RG flows in self-dual 2D QFTs using New Massive Gravity models, revealing conditions under which dual theories are related by strong-weak coupling transformations.

Contribution

It introduces a framework connecting NMG models with self-dual 2D QFTs through specific superpotentials and duality invariance, establishing a new holographic duality correspondence.

Findings

Derived exact beta functions from NMG domain wall solutions.

Identified conditions for superpotentials ensuring duality invariance.

Established a strong-weak coupling duality between dual 2D QFTs.

Abstract

The holographic renormalization group (RG) flows in certain self-dual two dimensional QFT's models are studied. They are constructed as holographic duals to specific New Massive 3d Gravity (NMG) models coupled to scalar matter with "partially self-dual" superpotentials. The standard holographic RG constructions allow us to derive the exact form of their $\beta$- functions in terms of the corresponding NMG's domain walls solutions. By imposing invariance of the free energy, the central function and of the anomalous dimensions under specific matter field's duality transformation, we have found the conditions on the superpotentials of two different NMG's models, such that their dual 2d QFT's are related by a simple strong-weak coupling transformation.