Renormalization Group Flows from D=3, N=2 Matter Coupled Gauged Supergravities

TL;DR

This paper investigates holographic RG flows in N=2 supergravity theories in three dimensions, revealing different IR behaviors, spectrum characteristics, and central charge ratios, with implications for dual conformal field theories.

Contribution

It provides explicit examples of supersymmetric and non-supersymmetric RG flows, analyzes their spectra, and computes 2-point functions, advancing understanding of holographic dualities in lower-dimensional supergravities.

Findings

Supersymmetric flows interpolate between IR conformal and flat spacetime regions.

Non-compact models exhibit flows from UV fixed points to singular IR regions.

Spectrum analysis shows continuous and discrete spectra depending on the model.

Abstract

We study holographic RG flows of N=2 matter couple AdS_3 supergravities which admit both compact and non-compact sigma manifolds. For the compact case the supersymmetric domain wall solution interpolates between a conformal IR region and flat spacetime and this corresponds to a deformation of the CFT by an irrelevant operator. When it is non-compact, the solution can be interpreted as a flow between an UV fixed point and a non-conformal(singular) IR region. This is an exact example of a deformation flow when the singularity is physical. We also find a non-supersymmetric deformation flow when the scalar potential has a second AdS vacua. The ratio of the central charges is rational for certain values of the size of the sigma model. Next, we analyze the spectrum of a massless scalar on our background by transforming the problem into Schroedinger form. The spectrum is continuous for the compact model, yet it can be both continuous (with or without mass gap) and discrete otherwise. Finally, 2-point functions are computed for two examples whose quantum mechanical potentials are of Calogero type.