Supersymmetric vacua of mass-deformed M2-brane theory

Abstract

We count the supersymmetric vacua of mass-deformed N=6 U(N)xU(N) Chern-Simons-matter theory by calculating the Witten index. When the Chern-Simons level k is 1, our result perfectly agrees with that from the gravity dual, given by partitions of N. For general k, our index generalizes partitions of N, including additional degrees. We also comment on non-relativistic superconformal theories constructed from this model.

18 pages, 1 figure, v2: figure improved, added references, relation to LLM geometry explained.

References in corpus (14)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• A Massive Study of M2-brane Proposals
• Supersymmetric states of N=4 Yang-Mills from giant gravitons
• Comments on 1/16 BPS Quantum States and Classical Configurations
• Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
• Nonrelativistic Superconformal M2-Brane Theory
• Schrodinger invariant solutions of type IIB with enhanced supersymmetry
• Vortex-type Half-BPS Solitons in ABJM Theory
• Supersymmetric non-relativistic geometries in M-theory
• Observables and Correlators in Nonrelativistic ABJM Theory
• Counting Wobbling Dual-Giants

Cited by in corpus (40)

• M-Strings
• On orbifolds of M-Strings
• Multiple Membranes in M-theory
• Refined BPS invariants of 6d SCFTs from anomalies and modularity
• Rotating Black Hole Entropy from M5-branes
• E + E $\to$ H
• Large $N$ twisted partition functions in 3d-3d correspondence and Holography
• Spatially modulated and supersymmetric deformations of ABJM theory
• Holography of mass-deformed M2-branes
• Renormalized Entanglement Entropy Flow in Mass-deformed ABJM Theory
• Holographic Entanglement Entropy of Mass-deformed ABJM Theory
• 5D Yang-Mills instantons from ABJM Monopoles
• On the Elliptic Genus of Three E-strings and Heterotic Strings
• Monopoles, three-algebras and ABJM theories with $\mathbb{N}=5,6,8$ supersymmetry
• Vortices and 3 dimensional dualities
• N=2 Moduli of AdS4 vacua: A fine-print study
• An associative star-three-product and applications to M two/M five-brane theory
• Expanding 3d $\mathcal{N}=2$ Theories around the Round Sphere
• Exact Holography of the Mass-deformed M2-brane Theory
• Interaction between M2-branes and Bulk Form Fields
• Comments on domain walls in holographic duals of mass deformed conformal field theories
• Mass-deformed ABJM Theory and LLM Geometries: Exact Holography
• Deconstructing graviphoton from mass-deformed ABJM
• Infrared phases of 3D Class R theories
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• Holographic Entanglement Entropy of Anisotropic Minimal Surfaces in LLM Geometries
• Abelian Projections of the Mass-deformed ABJM theory and Weakly Curved Dual Geometry
• Five-dimensional super Yang-Mills theory from ABJM theory
• Quantization of charges and fluxes in warped Stenzel geometry
• Gravity from Entanglement and RG Flow in a Top-down Approach
• Mass-Deformed Super Yang-Mills Theories from M2-Branes with Flux
• On the Vacua of Mass-deformed Gaiotto-Tomasiello Theories
• Aspects of Massive ABJM Models with Inhomogeneous Mass Parameters
• Holography of Massive M2-brane Theory with Discrete Torsion
• KK6 from M2 in ABJM
• Semi-classical monopole operators in Chern-Simons-matter theories
• Holography of Massive M2-brane Theory: Non-linear Extension
• Emergent Schrodinger geometries from mass-deformed CFT
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory
• Janus ABJM Models with Mass Deformation