Susy Q and spatially modulated deformations of ABJM theory

TL;DR

This paper constructs supersymmetric Q-lattice solutions within a holographic framework, describing RG flows driven by spatially modulated deformations of ABJM theory that return to the original vacuum in the IR.

Contribution

It introduces new supersymmetric Q-lattice solutions in a specific supergravity model, illustrating boomerang RG flows with spatially modulated mass deformations of ABJM theory.

Findings

Susy Q solutions describe boomerang RG flows from and back to ABJM theory.

Large deformations lead to flows approaching Poincaré invariant RG dielectric flow.

Spatially averaged energy density of solutions vanishes.

Abstract

Within a holographic framework we construct supersymmetric Q-lattice (`Susy Q') solutions that describe RG flows driven by supersymmetric and spatially modulated deformations of the dual CFTs. We focus on a specific $D=4$ supergravity model which arises as a consistent KK truncation of $D=11$ supergravity on the seven sphere that preserves $SO(4)\times SO(4)$ symmetry. The Susy Q solutions are dual to boomerang RG flows, flowing from ABJM theory in the UV, deformed by spatially modulated mass terms depending on one of the spatial directions, back to the ABJM vacuum in the far IR. For large enough deformations the boomerang flows approach the well known Poincar\'e invariant RG dielectric flow. The spatially averaged energy density vanishes for the Susy Q solutions.