# Spatially modulated and supersymmetric deformations of ABJM theory

## TL;DR

This paper constructs new supersymmetric solutions in 11-dimensional supergravity that are dual to spatially deformed ABJM theories, revealing rich RG flow structures and generalizing Janus solutions.

## Contribution

It introduces a method to generate supersymmetric solutions with spatially varying deformations of ABJM theory, expanding the landscape of holographic duals.

## Key findings

- Infinite classes of supersymmetric boomerang RG flows identified.
- Reduction of BPS equations to the Helmholtz equation on the complex plane.
- Generalization of known Janus solutions with spatially varying parameters.

## Abstract

We construct supersymmetric solutions of $D=11$ supergravity, preserving 1/4 of the supersymmetry, that are holographically dual to ABJM theory which has been deformed by spatially varying mass terms depending on one of the two spatial directions. We show that the BPS equations reduce to the Helmholtz equation on the complex plane leading to rich classes of new solutions. In particular, the construction gives rise to infinite classes of supersymmetric boomerang RG flows, as well as generalising a known Janus solution.