# Janus and J-fold Solutions from Sasaki-Einstein Manifolds

## TL;DR

This paper constructs two classes of supersymmetric AdS4 solutions from Sasaki-Einstein manifolds in type IIB supergravity, revealing new dualities with 3D N=1 SCFTs and relating their free energies to 4D anomalies.

## Contribution

It introduces universal deformations of AdS5×M5 backgrounds leading to novel AdS4 solutions with dual 3D N=1 SCFTs, connecting geometric data to field theory free energies.

## Key findings

- Two universal supersymmetric AdS4 solutions from Sasaki-Einstein manifolds.
- One solution describes an AdS4 domain wall dual to a Janus configuration.
- Another solution involves SL(2,Z) monodromy and relates to 3D SCFT free energy.

## Abstract

We show that for every Sasaki-Einstein manifold, $M_5$, the AdS$_5\times M_5$ background of type IIB supergravity admits two universal deformations leading to supersymmetric AdS$_4$ solutions. One class of solutions describes an AdS$_4$ domain wall in AdS$_5$ and is dual to a Janus configuration with $\mathcal{N}=1$ supersymmetry. The other class of backgrounds is of the form AdS$_4\times S^1\times M_5$ with a non-trivial SL$(2,\mathbb{Z})$ monodromy for the IIB axio-dilaton along the $S^1$. These AdS$_4$ solutions are dual to three-dimensional $\mathcal{N}=1$ SCFTs. Using holography we express the $S^3$ free energy of these theories in terms of the conformal anomaly of the four-dimensional $\mathcal{N}=1$ SCFT arising from D3-branes on the Calabi-Yau cone over $M_5$.