Janus and RG interfaces in three-dimensional gauged supergravity II: General $\alpha$

TL;DR

This paper investigates Janus and RG-flow interfaces in three-dimensional ${ m extbf{N}=8}$ gauged supergravity with a general parameter $oldsymbol{ extit{ extbf{ extalpha}}}$, deriving flow equations, finding solutions, and computing holographic quantities like entanglement entropy.

Contribution

It extends previous work by analyzing ${ m extbf{N}=8}$ supergravity with a general $ extit{ extalpha}$, deriving BPS flow equations, and calculating holographic observables.

Findings

Derived BPS flow equations for the model.

Numerical solutions for the flow equations.

Computed holographic entanglement entropy.

Abstract

In this paper, we continue the study of Janus and RG-flow interfaces in three dimensional supergravity continuing the work presented in [1]. We consider ${\cal N}=8$ gauged supergravity theories which have a ${\cal N}=(4,4)$ $AdS_3$ vacuum with $D^1(2,1;\alpha) \times D^1(2,1;\alpha)$ symmetry for general $\alpha$. We derive the BPS flow equations and find numerical solutions. Some holographic quantities such as the entanglement entropy are calculated.