Superconformal Chern-Simons Theories

Abstract

We explore the possibilities for constructing Lagrangian descriptions of three-dimensional superconformal classical gauge theories that contain a Chern-Simons term, but no kinetic term, for the gauge fields. Classes of such theories with N = 1 and N = 2 supersymmetry are found. However, interacting theories of this type with N = 8 supersymmetry do not exist.

14 pages; v2: References added

Cited by in corpus (219)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Modeling Multiple M2's
• Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
• Chern-Simons Theory with Vector Fermion Matter
• Notes on Superconformal Chern-Simons-Matter Theories
• The complete superconformal index for N=6 Chern-Simons theory
• Seiberg Duality in Chern-Simons Theory
• d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Supersymmetric AdS(4) compactifications of IIA supergravity
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• The all loop AdS4/CFT3 Bethe ansatz
• n-ary algebras: a review with applications
• Constraining Maximally Supersymmetric Membrane Actions
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• The string origin of dyonic $\mathcal{N}=8$ supergravity and its simple Chern-Simons duals
• Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
• M2-branes, 3-Lie Algebras and Plucker relations
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
• Three-dimensional N=6 SCFT's and their membrane dynamics
• The Holography of F-maximization
• Spinning strings at one-loop in AdS_4 x P^3
• The gauge dual of Romans mass
• N = 8 Superconformal Chern--Simons Theories
• D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades
• The AdS4/CFT3 algebraic curve
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Classification of N=6 superconformal theories of ABJM type
• Generation of Matrix Models by W-operators
• On the Lie-algebraic origin of metric 3-algebras
• Multiple M2-branes and Generalized 3-Lie algebras
• Honeycomb Layered Oxides: Structure, Energy Storage, Transport, Topology and Relevant Insights
• The large N limit of quiver matrix models and Sasaki-Einstein manifolds
• M2-branes on Orbifolds of the Cone over Q^{1,1,1}
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Towards M2-brane Theories for Generic Toric Singularities
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Charges of Monopole Operators in Chern-Simons Yang-Mills Theory
• Dyonic ISO(7) supergravity and the duality hierarchy
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Multiple Membranes in M-theory
• New string vacua from twistor spaces
• Cohomological localization of Chern-Simons theory
• ABJM models in N=3 harmonic superspace
• A Stringy Origin of M2 Brane Chern-Simons Theories
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• The exceptional story of massive IIA supergravity
• I-Brane Dynamics
• Classification of All 1/2 BPS Solutions of the Tiny Graviton Matrix Theory
• AdS_4/CFT_3 duals from M2-branes at hypersurface singularities and their deformations
• N=8 superconformal gauge theories and M2 branes
• Multiple M2-branes and the Embedding Tensor
• String instanton in AdS(4)xCP(3)
• Thermodynamics and weak cosmic censorship conjecture in extended phase spaces of anti-de Sitter black holes with particles' absorption
• Perturbing gauge/gravity duals by a Romans mass
• A New N=4 Membrane Action via Orbifold
• Holographic, N=1 Supersymmetric RG Flows on M2 Branes
• Janus field theories from multiple M2 branes
• Interacting String Multi-verses and Holographic Instabilities of Massive Gravity
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• M-Theory on Deformed Superspace
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
• Supersymmetric Chern-Simons Theory in Presence of a Boundary
• On 3d N=8 Lorentzian BLG theory as a scaling limit of 3d superconformal N=6 ABJM theory
• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• Redeeming Bad Theories
• On the structure of k-Lie algebras
• Refined test of AdS4/CFT3 correspondence for N=2,3 theories
• D2-brane Chern-Simons theories: F-maximization = a-maximization
• Instanton Effects in Orbifold ABJM Theory
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
• The Squashed, Stretched, and Warped Gets Perturbed
• The F-Theorem and F-Maximization
• Consistent $\mathcal{N}=8$ truncation of massive IIA on $S^6$
• N=1,2 supersymmetric vacua of IIA supergravity and SU(2) structures
• Chern-Simons theory on L(p,q) lens spaces and Localization
• Multiple D2-Brane Action from M2-Branes
• Infrared Stability of N=2 Chern-Simons Matter Theories
• On Large N Solution of ABJM Theory
• M-Theory in the Gaugeon Formalism
• Evidence for Aharony duality for orthogonal gauge groups
• BPS black hole horizons from massive IIA
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• Infrared stability of ABJ-like theories
• Fermi surfaces in maximal gauged supergravity
• Index computation for 3d Chern-Simons matter theory: test of Seiberg-like duality
• Topological branes, p-algebras and generalized Nahm equations
• Light States in Chern-Simons Theory Coupled to Fundamental Matter
• Anomalous Dimensions in Non-Supersymmetric Bifundamental Chern-Simons Theories
• Supersymmetric non-relativistic geometries in M-theory
• BPS black holes from massive IIA on S${}^6$
• Three-algebras, triple systems and 3-graded Lie superalgebras
• AdS${}_4$ solutions of massive IIA from dyonic ISO(7) supergravity
• Superstrings on AdS_4 x CP^3 from Supergravity
• Topologically gauged superconformal Chern-Simons matter theories
• Deformation of the ABJM Theory
• Supersymmetric States in Large N Chern-Simons-Matter Theories
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• Supersymmetric Defect Models and Mirror Symmetry
• A Note on Large N Thermal Free Energy in Supersymmetric Chern-Simons Vector Models
• From Simplified BLG Action to the First-Quantized M-Theory
• Amplitudes of 3d Yang Mills Theory
• Large N phase transitions in supersymmetric Chern-Simons theory with massive matter
• Three-dimensional N=8 conformal supergravity and its coupling to BLG M2-branes
• Three-Algebras in N = 5, 6 Superconformal Chern-Simons Theories: Representations and Relations
• An $\mathcal{N}=3$ Solution in Dyonic ISO(7) Gauged Maximal Supergravity and Its Uplift to Massive Type IIA
• Existence Theorems for Vortices in the Aharony--Bergman--Jaferis--Maldacena Model
• Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM
• The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit
• 3D Seiberg-like Dualities and M2 Branes
• AdS/CFT with Tri-Sasakian Manifolds
• N=8 Superspace Constraints for Three-dimensional Gauge Theories
• Reflection groups and 3d $\mathcal{N}\ge$ 6 SCFTs
• Romans-mass-driven flows on the D2-brane
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Localization of Supersymmetric Chern-Simons-Matter Theory on a Squashed $S^3$ with $SU(2)\times U(1)$ Isometry
• Aspects of monopole operators in N=6 Chern-Simons theory
• A note on the reduction of the AdS4 x CP3 string sigma model
• The BV Formalization of Chern-Simons Theory on Deformed Superspace
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Instantons and Conformal Holography
• Spectrum universality properties of holographic Chern-Simons theories
• Low-energy effective actions in three-dimensional extended SYM theories
• Families of Conformal Fixed Points of N=2 Chern-Simons-Matter Theories
• Superconformal Sigma Models in Three Dimensions
• Coleman-Weinberg mechanism in a three-dimensional supersymmetric Chern-Simons-matter model
• Superconformal Indices for Orbifold Chern-Simons Theories
• Supersymmetric Janus solutions of dyonic $ISO(7)$-gauged $\mathcal{N}=8$ supergravity
• Chern-Simons D=3, N=6 superfield theory
• Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
• Electric-magnetic Duality and Deformations of Three-Dimensional CFT's
• Topological anomalies for Seifert 3-manifolds
• Complete factorization in minimal N=4 Chern-Simons-matter theory
• Runaway in the Landscape
• N=2 SUSY Abelian Higgs model with hidden sector and BPS equations
• Evidence for the Holographic dual of $\mathcal{N}=3$ Solution in Massive Type IIA
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• Tests of AdS${}_4$/CFT${}_3$ correspondence for $\mathcal{N}=2$ chiral-like theory
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• Superpotentials for superconformal Chern-Simons theories from representation theory
• Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k
• Precision Spectroscopy and Higher Spin symmetry in the ABJM model
• Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory
• M-Theory and Maximally Supersymmetric Gauge Theories
• On the Problem of Multiple M2 Branes
• Branes and fluxes in special holonomy manifolds and cascading field theories
• Membrane Quantum Mechanics
• Fuzzy Killing Spinors and Supersymmetric D4 action on the Fuzzy 2-sphere from the ABJM Model
• Spectral Theories and Topological Strings on del Pezzo Geometries
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• Superconformal M2-branes and generalized Jordan triple systems
• Nambu-Lie 3-Algebras on Fuzzy 3-Manifolds
• Penrose limits and spin chains in the GJV/CS-SYM duality
• New $Ad{S}_4\times X_7$ Geometries with $\mathcal{N}=6$ in M Theory
• On $\mathcal{N}=4$ supersymmetry enhancements in three dimensions
• On non-linear action of multiple M2-branes
• The Morphology of N=6 Chern-Simons Theory
• Supersymmetric solutions from N=5 gauged supergravity
• The Conformal Manifold of Chern-Simons Matter Theories
• On the pulsating strings in AdS_4 x CP3
• Monopole operators, moduli spaces and dualities
• Two-Loop Spectroscopy of Short ABJM Operators
• Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory
• 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
• Halving ISO(7) supergravity
• Multiple M0-brane system in an arbitrary eleven dimensional supergravity background
• Near Flat Space limit of strings on AdS_4 x CP^3
• Observables in the Guarino-Jafferis-Varela/CS-SYM duality
• Dynamical supersymmetry in maximally supersymmetric gauge theories
• SU(N) q-Toda equations from mass deformed ABJM theory
• A CFT Distance Conjecture
• On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
• Light-cone analysis of ungauged and topologically gauged BLG theories
• Janus solutions from dyonic ISO(7) maximal gauged supergravity
• Probing AdS4/CFT3 proposals beyond chiral rings
• $QC{D}_3$ Dualities and the F-Theorem
• Spin chain for the deformed ABJM theory
• Chern-Simons theory in the SO(5)/U(2) harmonic superspace
• Theories with Memory
• On superconformal Chern-Simons-matter theories in N=4 superspace
• M5 spikes and operators in the HVZ membrane theory
• On thermodynamics of N=6 superconformal Chern-Simons theory
• Marginal deformations from type IIA supergravity
• Holographic RG flows and symplectic deformations of N=4 gauged supergravity
• The Background Field Method for N = 2, d3 Super Chern-Simons-Matter Theories
• Chern-Simons vortices and holography
• More on the scalar-tensor B-F theory
• Wilson loops in N=6 superspace for ABJM theory
• BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
• A N=8 action for multiple M2-branes with an arbitrary number of colors
• Non-topological Vortex Configurations in the ABJM Model
• The conformal brane-scan: an update
• Phases of $\mathcal{N}=1$ Quivers in $2+1$ Dimensions
• A proposal for M2-brane-anti-M2-brane action
• Dilatation operator in 3d
• Complete type IIA superstring action on IIA plane wave background
• Ward and Nielsen Identities for ABJM Theory in $\mathcal{N}=1$ Superspace
• On the Higgsing and UnHiggsing of Fano 3-Folds
• Complete superspace classification of three-dimensional Chern-Simons-matter theories coupled to supergravity
• Off-shell construction of superconformal Chern-Simons theories in three dimensions
• Superconformal Chern-Simons theories beyond leading order
• Perturbative aspects of mass-deformed N=3 Chern-Simons-matter theory
• Enhanced Supersymmetry of Nonrelativistic ABJM Theory
• Charges of Monopole Operators in $\widehat{ADE}$ Chern-Simons Quiver Gauge Theories
• Janus Field Theories from Non-Linear BF Theories for Multiple M2-Branes
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• Vacua, Symmetries, and Higgsing of Chern-Simons Matter Theories
• 3d CFT and Multi M2-brane Theory on RxS^2
• Large J expansion in ABJM theory revisited
• F-string Solution in AdS4 X CP3 PP-wave Background
• Hommage a Nambu
• Exact beta-functions in softly-broken N=2 Chern-Simons matter theories