Susy Q and spatially modulated deformations of ABJM theory

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 Poincaré invariant RG dielectric flow. The spatially averaged energy density vanishes for the Susy Q solutions.

arXiv comment30 pages, 5 figures. Very minor changes, published version

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• Spatially modulated and supersymmetric deformations of ABJM theory
• Spatially modulated and supersymmetric mass deformations of $\mathcal{N}=4$ SYM
• Holographic spontaneous anisotropy
• Re-visiting Supersymmetric Janus Solutions: A Perturbative Construction
• Supersymmetric Inhomogeneous Field Theories in 1+1 Dimensions
• Constraining Non-Relativistic RG Flows with Holography
• Holographic RG flows and Janus solutions from matter-coupled N=4 gauged supergravity
• AdS Q-Soliton and Inhomogeneously mass-deformed ABJM Model
• Thermodynamics of Inhomogeneously Mass-deformed ABJM Model and Pressure Anisotropy
• Instantons in AdS${}_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT${}_3$'s
• Holographic $a$-functions and Boomerang RG Flows
• New supersymmetric Janus solutions from N=4 gauged supergravity
• Charged Static AdS Black Hole Binaries
• Boundary Conditions in Topological AdS${}_4$/CFT${}_3$
• Wrapped $M5$-branes and complex saddle points