N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds

Abstract

We explore further our recent generalization of the $\mathcal{N}=4$ superconformal Chern-Simons theories of Gaiotto and Witten. We find and construct explicitly theories of enhanced $\mathcal{N}=5$ or 6 supersymmetry, especially $\mathcal{N}=5$, $Sp(2M)\times O(N)$ and $\mathcal{N}=6$, $Sp(2M)\times O(2)$ theories. The $U(M)\times U(N)$ theory coincides with the $\mathcal{N}=6$ theory of Aharony, Bergman, Jafferis and Maldacena (ABJM). We argue that the $\mathcal{N}=5$ theory with $Sp(2N)\times O(2N)$ gauge group can be understood as an orientifolding of the ABJM model with $U(2N)\times U(2N)$ gauge group. We briefly discuss the Type IIB brane construction of the $\mathcal{N}=5$ theory and the geometry of the M-theory orbifold.

24 pages. v2: SUSY of mass deformed theory proven, minor improvements

Cited by in corpus (242)

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• The complete superconformal index for N=6 Chern-Simons theory
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• Exact Results in ABJM Theory from Topological Strings
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• The all loop AdS4/CFT3 Bethe ansatz
• Tilings, Chern-Simons Theories and M2 Branes
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• Brane Tilings and M2 Branes
• Chiral flavors and M2-branes at toric CY4 singularities
• Three-dimensional N=6 SCFT's and their membrane dynamics
• The AdS4/CFT3 algebraic curve
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Classification of N=6 superconformal theories of ABJM type
• Anomalous radius shift in AdS(4)/CFT(3)
• Tree-level Recursion Relation and Dual Superconformal Symmetry of the ABJM Theory
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• On the Lie-algebraic origin of metric 3-algebras
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Towards M2-brane Theories for Generic Toric Singularities
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Notes on Supersymmetry Enhancement of ABJM Theory
• Multiple Membranes in M-theory
• Exact results on ABJ theory and the refined topological string
• ABJM models in N=3 harmonic superspace
• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• Boundary Conditions for Interacting Membranes
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Janus solutions in M-theory
• Looking for a Matrix model of ABJM
• Instanton effects in ABJM theory with general R-charge assignments
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Phases of M2-brane Theories
• From N M2's to N D2's
• Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories
• Nonrelativistic Superconformal M2-Brane Theory
• N=2 solutions of massive type IIA and their Chern-Simons duals
• Supersymmetric vacua of mass-deformed M2-brane theory
• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• M2-Branes and Background Fields
• Refined test of AdS4/CFT3 correspondence for N=2,3 theories
• Instanton Effects in Orbifold ABJM Theory
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
• The ABCDEF's of Matrix Models for Supersymmetric Chern-Simons Theories
• Evidence for Aharony duality for orthogonal gauge groups
• Index computation for 3d Chern-Simons matter theory: test of Seiberg-like duality
• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• Vortex-type Half-BPS Solitons in ABJM Theory
• Supersymmetric non-relativistic geometries in M-theory
• N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
• R-charges, Chiral Rings and RG Flows in Supersymmetric Chern-Simons-Matter Theories
• Three-algebras, triple systems and 3-graded Lie superalgebras
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• Instanton Effects in Orientifold ABJM Theory
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• Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory
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• Exact relations between M2-brane theories with and without Orientifolds
• Exact Instanton Expansion of ABJM Partition Function
• Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry
• Non-planar ABJ Theory and Parity
• Eigenvalue Distributions in Matrix Models for Chern-Simons-matter Theories
• Sphere correlation functions and Verma modules
• A profusion of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories
• Orientifold ABJM Matrix Model: Chiral Projections and Worldsheet Instantons
• Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM
• Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• Three-Algebras in N = 5, 6 Superconformal Chern-Simons Theories: Representations and Relations
• N=8 Superspace Constraints for Three-dimensional Gauge Theories
• ABJM Membrane Instanton from Pole Cancellation Mechanism
• Symplectic Three-Algebra Unifying N=5,6 Superconformal Chern-Simons-Matter Theories
• 3D Seiberg-like Dualities and M2 Branes
• Implications of N=4 superconformal symmetry in three spacetime dimensions
• The orthogonal momentum amplituhedron and ABJM amplitudes
• Orthosymplectic Chern-Simons Matrix Model and Chirality Projection
• Orientifolding of the ABJ Fermi gas
• Spatially modulated and supersymmetric deformations of ABJM theory
• Free Energy vs Sasaki-Einstein Volume for Infinite Families of M2-Brane Theories
• The 3d $\mathcal{N}=6$ Bootstrap: From Higher Spins to Strings to Membranes
• Vortices, Q-balls and Domain Walls on Dielectric M2-branes
• Spatially modulated and supersymmetric mass deformations of $\mathcal{N}=4$ SYM
• A note on the reduction of the AdS4 x CP3 string sigma model
• Self-dual Strings and 2D SYM
• Refined Checks and Exact Dualities in Three Dimensions
• Superconformal Chern-Simons Theories from del Pezzo Geometries
• BPS Wilson loops in $\mathcal{N}\ge 2$ superconformal Chern-Simons-matter theories
• The moduli spaces of S-fold CFTs
• Renormalized Entanglement Entropy Flow in Mass-deformed ABJM Theory
• Holographic Entanglement Entropy of Mass-deformed ABJM Theory
• Abelian dualities of $\mathcal{N}=(0,4)$ boundary conditions
• Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
• 5D Yang-Mills instantons from ABJM Monopoles
• Superconformal Indices for Orbifold Chern-Simons Theories
• A Systematic Study on Matrix Models for Chern-Simons-matter Theories
• String theory duals of Wilson loops from Higgsing
• Topological Chern-Simons Sigma Model
• Monopoles, three-algebras and ABJM theories with $\mathbb{N}=5,6,8$ supersymmetry
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• Complete factorization in minimal N=4 Chern-Simons-matter theory
• A family of super Schrodinger invariant Chern-Simons matter systems
• Octonions, G_2 and generalized Lie 3-algebras
• Observables and Correlators in Nonrelativistic ABJM Theory
• Tests of AdS${}_4$/CFT${}_3$ correspondence for $\mathcal{N}=2$ chiral-like theory
• Implications of N=5, 6 superconformal symmetry in three spacetime dimensions
• Mass Deformed ABJM Theory on Three Sphere in Large N limit
• Superpotentials for superconformal Chern-Simons theories from representation theory
• Symmetry Breaking in Quantum Curves and Super Chern-Simons Matrix Models
• N=1 Chern-Simons theories, orientifolds and Spin(7) cones
• A Topologically Massive Gauge Theory with 32 Supercharges
• M-Theory and Maximally Supersymmetric Gauge Theories
• N=6 Membrane Worldvolume Superalgebra
• From the planar limit to M-theory
• Positroid Stratification of Orthogonal Grassmannian and ABJM Amplitudes
• Spectral Theories and Topological Strings on del Pezzo Geometries
• Fuzzy Killing Spinors and Supersymmetric D4 action on the Fuzzy 2-sphere from the ABJM Model
• M5 brane from mass deformed BLG theory
• Dualities and flavored indices of M2-brane SCFTs
• Giambelli Identity in Super Chern-Simons Matrix Model
• Topological M-Strings and Supergroup WZW Models
• ABJ Quadrality
• Dualities in ABJM Matrix Model from Closed String Viewpoint
• (Un)Higgsing the M2-brane
• Tree-Level Color-Kinematics Duality from Pure Spinor Actions
• Hanany-Witten Transition in Quantum Curves
• Superconformal M2-branes and generalized Jordan triple systems
• M2-brane Flows and the Chern-Simons Level
• Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
• On $\mathcal{N}=4$ supersymmetry enhancements in three dimensions
• Simplicity in the Faulkner construction
• Duality between N=5 and N=6 Chern-Simons matter theory
• Wilson-loop One-point Functions in ABJM Theory
• Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
• Superspace Formulation in a Three-Algebra Approach to D=3, N=4,5 Superconformal Chern-Simons Matter Theories
• The Conformal Manifold of Chern-Simons Matter Theories
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• Emergent unitarity, all-loop cuts and integrations from the ABJM amplituhedron
• The Quantum Theory of Chern-Simons Supergravity
• Information flows in strongly coupled ABJM theory
• Localization and Duality for ABJM Latitude Wilson Loops
• Exact Holography of the Mass-deformed M2-brane Theory
• Supersymmetric solutions from N=5 gauged supergravity
• Chern-Simons: Fano and Calabi-Yau
• Comments on domain walls in holographic duals of mass deformed conformal field theories
• On the pulsating strings in AdS_4 x CP3
• Unifying N=5 and N=6
• Dimensional reduction of the ABJM model
• Supersymmetric vortex loops in 3D gauge theories
• Interaction between M2-branes and Bulk Form Fields
• Mass-deformed ABJM Theory and LLM Geometries: Exact Holography
• Manifest SO(N) invariance and S-matrices of three-dimensional N=2,4,8 SYM
• ABJM Matrix Model and 2D Toda Lattice Hierarchy
• The two-loop eight-point amplitude in ABJM theory
• Fermi gas approach to general rank theories and quantum curves
• Two-Point Functions in ABJM Matrix Model
• Supersymmetric solutions from N=6 gauged supergravity
• A New Three-Algebra Representation for the {\cal N}=6 su(N)Xsu(N) Superconformal Chern-Simons Theory
• Abelian Vortex in Bagger-Lambert-Gustavsson Theory
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
• SU(N) q-Toda equations from mass deformed ABJM theory
• N=5 three-algebras and 5-graded Lie superalgebras
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• Generating new dualities through the orbifold equivalence: a demonstration in ABJM and four-dimensional quivers
• Non-perturbative Tests of Duality Cascades in Three Dimensional Supersymmetric Gauge Theories
• Spin chain for the deformed ABJM theory
• Probing AdS4/CFT3 proposals beyond chiral rings
• BPS Wilson loops in Minkowski spacetime and Euclidean space
• ABJM Amplitudes in U-gauge and a Soft Theorem
• Holographic Entanglement Entropy of Anisotropic Minimal Surfaces in LLM Geometries
• Jacobi-Trudi Identity in Super Chern-Simons Matrix Model
• Semiclassical strings in AdS(3) X S^2
• Three-Algebra BFSS Matrix Theory
• M2-branes and $\mathfrak{q}$-Painlevé equations
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• Abelian Projections of the Mass-deformed ABJM theory and Weakly Curved Dual Geometry
• On superconformal Chern-Simons-matter theories in N=4 superspace
• AdS Q-Soliton and Inhomogeneously mass-deformed ABJM Model
• Superfield Formulation for Non-Relativistic Chern-Simons-Matter Theory
• Brane Transitions from Exceptional Groups
• Remark About Scaling Limit of ABJ Theory
• Thermodynamics of Inhomogeneously Mass-deformed ABJM Model and Pressure Anisotropy
• Gravitational free energy in topological AdS/CFT
• Extension of IIB Matrix Model by Three-Algebra
• The Background Field Method for N = 2, d3 Super Chern-Simons-Matter Theories
• Mass-Deformed Super Yang-Mills Theories from M2-Branes with Flux
• M2-M5 giant graviton expansions
• Supersymmetry Breaking in Chern-Simons-matter Theories
• Superalgebra Realization of the 3-algebras in N=6, 8 Chern-Simons-matter Theories
• Construction of New D=3, N=4 Quiver Gauge Theories
• BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
• On the Vacua of Mass-deformed Gaiotto-Tomasiello Theories
• Mock Modular Index of M2-M5 Brane System
• Probing the Space of Toric Quiver Theories
• Renormalized Holographic Subregion Complexity under Relevant Perturbations
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Dilatation operator in 3d
• Open M2-branes with Flux and Modified Basu-Harvey Equation
• Cubic constraints for the resolvents of the ABJM matrix model and its cousins
• Bonus scaling and BCFW in N=7 supergravity
• Mass deformed ABJM and $\mathcal{P}\mathcal{T}$ symmetry
• Duality Cascades and Affine Weyl Groups
• Klebanov-Witten flows in M-theory
• Covariantly Constant Curvature Tensors and D=3, N=4, 5, 8 Chern-Simons Matter Theories
• 3d dualities with decoupled sectors and brane transitions
• Leading singularities and chambers of Correlahedron
• OSp(5|4) Superconformal Symmetry of N=5 Chern-Simons Theory
• A new large-N limit and the planar equivalence outside the planar limit
• Complete type IIA superstring action on IIA plane wave background
• Complete superspace classification of three-dimensional Chern-Simons-matter theories coupled to supergravity
• Supersymmetry Breaking Phase in Three Dimensional Large N Gauge Theories
• Holography of Massive M2-brane Theory with Discrete Torsion
• Partially Supersymmetric ABJM Theory with Flux
• Chaotic Dynamics of the Mass Deformed ABJM Model
• On the Higgsing and UnHiggsing of Fano 3-Folds
• Duality Cascades and Parallelotopes
• A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1
• Deconstructing Supersymmetric S-matrices in D <= 2 + 1
• Off-shell construction of superconformal Chern-Simons theories in three dimensions
• KK6 from M2 in ABJM
• Enhanced Supersymmetry of Nonrelativistic ABJM Theory
• Superconformal Chern-Simons theories beyond leading order
• Boundary Conditions in Topological AdS${}_4$/CFT${}_3$
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory
• Exact 4-point Scattering Amplitude of the Superconformal Schrodinger Chern-Simons Theory
• $S^1$ Reduction of 4D $\mathcal{N}=3$ SCFTs and Squashing Independence of ABJM Theories
• $\mathcal{N}=3$ Supersymmetric Effective Action of D2-branes in Massive IIA String Theory
• Vacua, Symmetries, and Higgsing of Chern-Simons Matter Theories
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime
• The Aharony-Bergman-Jafferis-Maldacena theory on a circle
• Universal sectors in superconformal defects
• Generating functions for Higgs/Coulomb branch operators from 1d-3d cohomological equivalence
• Mass Deformed L-BLG Theory From ABJ Theory
• Embedding and partial resolution of complex cones over Fano threefolds
• OSp(4|4) superconformal currents in three-dimensional N=4 Chern-Simons quiver gauge theories