N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

Abstract

We construct three dimensional Chern-Simons-matter theories with gauge groups U(N)xU(N) and SU(N)xSU(N) which have explicit N=6 superconformal symmetry. Using brane constructions we argue that the U(N)xU(N) theory at level k describes the low energy limit of N M2-branes probing a C^4/Z_k singularity. At large N the theory is then dual to M theory on AdS_4xS^7/Z_k. The theory also has a 't Hooft limit (of large N with a fixed ratio N/k) which is dual to type IIA string theory on AdS_4xCP^3. For k=1 the theory is conjectured to describe N M2-branes in flat space, although our construction realizes explicitly only six of the eight supersymmetries. We give some evidence for this conjecture, which is similar to the evidence for mirror symmetry in d=3 gauge theories. When the gauge group is SU(2)xSU(2) our theory has extra symmetries and becomes identical to the Bagger-Lambert theory.

41 pages, 4 figures. v3: minor corrections, added references. v4: added reference, minor changes, JHEP version

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• The Massive Supermembrane on a Knot
• Flavored ABJM theory on the sphere and holographic F-functions
• Bonus scaling and BCFW in N=7 supergravity
• Subleading corrections to the $S^3$ free energy of necklace quiver theories dual to massive IIA
• Open M2-branes with Flux and Modified Basu-Harvey Equation
• Duality Cascades and Affine Weyl Groups
• The conformal brane-scan: an update
• 3D supersymmetric nonlinear multiple D$0$-brane action and 4D counterpart of multiple M-wave system
• Integrability structures in string theory
• Fermionic reductions of the AdS4 x CP3 superstring
• Dilatation operator in 3d
• A domain wall in twisted M-theory
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Large N instantons from topological strings
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• New Fuzzy Extra Dimensions from $SU(\mathcal{N})$ Gauge Theories
• Dynamics of non-Abelian strings in the theory interpolating from $\mathcal{N}=2$ to $\mathcal{N}=1$ supersymmetric QCD
• Ward and Nielsen Identities for ABJM Theory in $\mathcal{N}=1$ Superspace
• A Surprising Similarity Between Holographic CFTs and a Free Fermion in $(2+1)$ Dimensions
• Holographic supersymmetric Renyi entropies from hyperbolic black holes with scalar hair
• S-folds and $Ad{S}_3$ flows from the D3-brane
• Comments on Holographic Level/Rank Dualities
• Duality Cascades and Parallelotopes
• A Scaling Relation, $Z_m$-type Deconfinement Phases and Imaginary Chemical Potentials in Finite Temperature Large-$N$ Gauge Theories
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• Chaotic Dynamics of the Mass Deformed ABJM Model
• Exact large $N$ expansion of $\mathcal{N}=4$ circular quiver Chern-Simons theories and squashing
• Leading singularities and chambers of Correlahedron
• Abelian dualities and line defect indices for 3d gauge theories
• Penrose limit of MNa solution and spin chains in three-dimensional field theories
• SUSY and tri-vector deformations
• 3d dualities with decoupled sectors and brane transitions
• A new large-N limit and the planar equivalence outside the planar limit
• Dualities of 3D $\mathcal{N}=1$ SQCD from Branes and non-SUSY deformations
• Lagrangian mechanics of massless superparticle on AdS_4 x CP^3 superbackground
• Critical lumpy black holes in AdS${}_p\times S^q$
• Multiple backreacted flavour branes
• Virasoro constraints revisited
• Membrane scattering from Bagger-Lambert theory
• Three-point Functions in Aharony--Bergman--Jafferis--Maldacena Theory and Integrable Boundary States
• Construction of a Massive ABJM Theory Without Higgs Superfields
• Causal transformation of Gödel-type space-times in conformal field theory
• Emergent Supersymmetry at Large $N$
• Superspace approach to the renormalization of the O'Raifeartaigh model up to the second order in the LDE parameter
• Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry
• Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
• Yangian Symmetry in Five Dimensions
• KK6 from M2 in ABJM
• Deformation of half-BPS solution in ABJM model and instability of supermembrane
• Self-consistency of Conformally Coupled ABJM Theory at the Quantum Level
• Witten index of BMN matrix quantum mechanics
• Remarks on Gribov mechanism on N=1 Supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory
• Twisted Supersymmetry in a Deformed Wess-Zumino Model in (2+1) Dimensions
• Analytic continuation of harmonic sums with purely imaginary indices near the integer values
• Instability of supersymmetric black holes via quantum phase transitions
• Flavors of entanglement
• QCD, with Strings Attached
• Higgs-like (pseudo)Scalars in AdS${}_4$, Marginal and Irrelevant Deformations in CFT_3 and Instantons on S^3
• ${\text{AdS}}_4$ Holography and the Hilbert Scheme
• Three-Point Functions in ABJM and Bethe Ansatz
• DNA Mutations via Chern-Simons Currents
• The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
• On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime
• Large-$N$ Free Energy of Chiral $\mathcal{N}=2$ Chern-Simons-Matter Theories
• Framing fermionic Wilson loops in ABJ(M)
• 5d-4d Correspondence in Twisted M-theory on a Conifold
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory
• M5-brane prongs, string soliton bound states and wall-crossing
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• $S^1$ Reduction of 4D $\mathcal{N}=3$ SCFTs and Squashing Independence of ABJM Theories
• 3d CFT and Multi M2-brane Theory on RxS^2
• Vacua, Symmetries, and Higgsing of Chern-Simons Matter Theories
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM
• More Fermionic Supersymmetric Wilson loops in Four Dimensions
• Monopole operators and symmetry enhancement in ABJM theory revisited
• Undecidability in Spacetime Geometry via the AdS/CFT Correspondence
• Holographic Hagedorn Temperature: Strong Coupling, Flavor and $\theta$-angle Effects
• On refined Chern-Simons and refined ABJ matrix models
• Novel aspects of integrability for NLSMs in symmetric spaces
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs
• Chiral Integrable Boundary States in the SU(4) Alternating Spin Chain
• Holographic Wilson Loop One-point Functions in ABJM Theory
• The Aharony-Bergman-Jafferis-Maldacena theory on a circle
• Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS${}_4$ Black Holes
• Universal sectors in superconformal defects
• Boundary bound states and integrable Wilson loops in ABJM
• Separability in Consistent Truncations
• Generating functions for Higgs/Coulomb branch operators from 1d-3d cohomological equivalence
• On the Search for Multicenter AdS Black Holes from M-theory
• Exact beta-functions in softly-broken N=2 Chern-Simons matter theories
• Universal Cardy-Like Behavior of 3D Partition Functions from Supersymmetric Localization
• Wilson loops in 3d $\mathcal{N}=4$ SQCD from Fermi gas
• The M2/M5 BPS Partition Functions from Supergravity
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview
• Semiclassics of three-dimensional SCFTs from holography
• A Lorentz Covariant Matrix Model for Bosonic M2-Branes: Nambu Brackets and Restricted Volume-Preserving Deformations
• Dynamical Stability and Critical Exponents of the Neutral (S-type) Gubser-Rocha Model with Momentum Dissipation