Holography of mass-deformed M2-branes

Abstract

We find and study the gravity duals of the supersymmetric vacua of N=6 mass-deformed Chern-Simons-matter theory for M2-branes. The classical solution extends that of Lin, Lunin and Maldacena by introducing a Z_k quotient and discrete torsions. The gravity vacua perfectly map to the recently identified supersymmetric field theory vacua. We calculate the masses of BPS charged particles in the weakly coupled field theory, which agree with the classical open membrane analysis when both calculations are reliable. We also comment on how non-relativistic conformal symmetry is realized in our gravity duals in a non-geometric way.

48 pages, 12 figures, uses youngtab.sty

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Cited by in corpus (18)

• Tunneling into Microstate Geometries: Quantum Effects Stop Gravitational Collapse
• Holographic Entanglement Entropy of Mass-deformed ABJM Theory
• Renormalized Entanglement Entropy Flow in Mass-deformed ABJM Theory
• 5D Yang-Mills instantons from ABJM Monopoles
• Vortices and 3 dimensional dualities
• Exact Holography of the Mass-deformed M2-brane Theory
• Comments on domain walls in holographic duals of mass deformed conformal field theories
• Metastability in Bubbling AdS Space
• Holographic Entanglement Entropy of Anisotropic Minimal Surfaces in LLM Geometries
• Abelian Projections of the Mass-deformed ABJM theory and Weakly Curved Dual Geometry
• Quantization of charges and fluxes in warped Stenzel geometry
• Gravity from Entanglement and RG Flow in a Top-down Approach
• Renormalized Holographic Subregion Complexity under Relevant Perturbations
• On the Vacua of Mass-deformed Gaiotto-Tomasiello Theories
• Aspects of Massive ABJM Models with Inhomogeneous Mass Parameters
• Holography of Massive M2-brane Theory: Non-linear Extension
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory
• Janus ABJM Models with Mass Deformation