Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence

Abstract

We discuss the N=2 superspace formulation of the N=8 superconformal Bagger-Lambert-Gustavsson theory, and of the N=6 superconformal Aharony-Bergman-Jafferis-Maldacena U(N)xU(N) Chern-Simons theory. In particular, we prove the full SU(4) R-symmetry of the ABJM theory. We then consider orbifold projections of this theory that give non-chiral and chiral (U(N)xU(N))^n superconformal quiver gauge theories. We argue that these theories are dual to certain AdS_4 x S^7/(Z_n x Z_k) backgrounds of M-theory. We also study a SU(3) invariant mass term in the superpotential that makes the N=8 theory flow to a N=2 superconformal gauge theory with a sextic superpotential. We conjecture that this gauge theory is dual to the U(1)_R x SU(3) invariant extremum of the N=8 gauged supergravity, which was discovered by N. Warner 25 years ago and whose uplifting to 11 dimensions was found more recently.

21 pages, 2 figures, v2: minor improvements, references added, v3: moduli space of orbifolds clarified, published version

References in corpus (12)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
• Notes on Superconformal Chern-Simons-Matter Theories
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Membranes on an Orbifold
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• The Master Space of N=1 Gauge Theories
• N = 8 Superconformal Chern--Simons Theories
• A New N=4 Membrane Action via Orbifold

Cited by in corpus (338)

• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• Chern-Simons Theory with Vector Fermion Matter
• The complete superconformal index for N=6 Chern-Simons theory
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• Multi-Matrix Models and Tri-Sasaki Einstein Spaces
• 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
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Exact results for the entanglement entropy and the energy radiated by a quark
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Tilings, Chern-Simons Theories and M2 Branes
• Brane Tilings and M2 Branes
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• Chiral flavors and M2-branes at toric CY4 singularities
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• Holographic Berezinskii-Kosterlitz-Thouless Transitions
• Lifshitz spacetimes from AdS null and cosmological solutions
• Three-dimensional N=6 SCFT's and their membrane dynamics
• On M5-branes in N=6 Membrane Action
• The Holography of F-maximization
• Spinning strings at one-loop in AdS_4 x P^3
• The gauge dual of Romans mass
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• The AdS4/CFT3 algebraic curve
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Classification of N=6 superconformal theories of ABJM type
• Tree-level Recursion Relation and Dual Superconformal Symmetry of the ABJM Theory
• Global phase diagrams of frustrated quantum antiferromagnets in two dimensions: doubled Chern-Simons theory
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• On the Lie-algebraic origin of metric 3-algebras
• ABJM with Flavors and FQHE
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3
• On Lifshitz scaling and hyperscaling violation in string theory
• On deformed gauge theories and their string/M-theory duals
• M2-branes on Orbifolds of the Cone over Q^{1,1,1}
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Gluon Scattering in AdS from CFT
• 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
• A note on the holography of Chern-Simons matter theories with flavour
• Supersymmetric Janus Solutions in Four Dimensions
• Bosonization and Mirror Symmetry
• Charges of Monopole Operators in Chern-Simons Yang-Mills Theory
• Fermi surfaces and gauge-gravity duality
• Pohlmeyer reduction revisited
• Notes on Supersymmetry Enhancement of ABJM Theory
• Membranes with a boundary
• Enhanced N=8 Supersymmetry of ABJM Theory on R(8) and R(8)/Z(2)
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• ABJM models in N=3 harmonic superspace
• Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Boundary Conditions for Interacting Membranes
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• ABJM amplitudes and the positive orthogonal grassmannian
• Janus solutions in M-theory
• An N=1 Superfield Action for M2 branes
• String instanton in AdS(4)xCP(3)
• Theta_13: phenomenology, present status and prospect
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Comment on the Scaling Function in AdS4 x CP3
• Magnon dispersion to four loops in the ABJM and ABJ models
• Multiple Membranes from Gauged Supergravity
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Quiver Chern-Simons theories and crystals
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Vortex Loop Operators, M2-branes and Holography
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• IIB Duals of D=3 N=4 Circular Quivers
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Holographic, N=1 Supersymmetric RG Flows on M2 Branes
• N=4 Chern-Simons theories and wrapped M-branes in their gravity duals
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Superconformal Chern-Simons Theories and the Squashed Seven Sphere
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• Pure Spinor Formalism for Osp(N|4) backgrounds
• M2-branes and AdS/CFT
• Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review
• Phases of M2-brane Theories
• The SU(3)-invariant sector of new maximal supergravity
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• M-Theory on Deformed Superspace
• Boundary Terms and Three-Point Functions: An AdS/CFT Puzzle Resolved
• From N M2's to N D2's
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
• One Loop Amplitudes In ABJM
• N=2 solutions of massive type IIA and their Chern-Simons duals
• Supersymmetric vacua of mass-deformed M2-brane theory
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Mass-deformed ABJM and Black Holes in AdS${}_4$
• Coulomb Branch of the Lorentzian Three Algebra Theory
• 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
• On Superconformal Characters and Partition Functions in Three Dimensions
• Fourteen new stationary points in the scalar potential of SO(8)-gauged N=8, D=4 supergravity
• Superfield actions for N=8 and N=6 conformal theories in three dimensions
• A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow
• Instanton Effects in Orbifold ABJM Theory
• Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
• M2-Branes and Quiver Chern-Simons: A Taxonomic Study
• The Squashed, Stretched, and Warped Gets Perturbed
• Electric/magnetic duality and RG flows in AdS4/CFT3
• (0,2) SCFTs from the Leigh-Strassler Fixed Point
• Multiple Self-Dual Strings on M5-Branes
• Infrared Stability of N=2 Chern-Simons Matter Theories
• M-Theory in the Gaugeon Formalism
• Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Infrared stability of ABJ-like theories
• Marginal Deformations and 3-Algebra Structures
• Topological branes, p-algebras and generalized Nahm equations
• From Correlators to Wilson Loops in Chern-Simons Matter Theories
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• Anomalous Dimensions in Non-Supersymmetric Bifundamental Chern-Simons Theories
• Vortex-type Half-BPS Solitons in ABJM Theory
• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• Baryonic symmetries and M5 branes in the AdS_4/CFT_3 correspondence
• N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
• $w_{\infty }$ 3-algebra
• Superstrings on AdS_4 x CP^3 from Supergravity
• Three-algebras, triple systems and 3-graded Lie superalgebras
• Scattering in ABJ theories
• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• Non-planar ABJM Theory and Integrability
• Finite field-dependent BRST symmetry for ABJM theory in $\mathcal{N}=1$ superspace
• Non-linear theory for multiple M2 branes
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Correlation functions of magnon and spike
• Deformation of the ABJM Theory
• Three-dimensional topologically gauged N=6 ABJM type theories
• A Note on Large N Thermal Free Energy in Supersymmetric Chern-Simons Vector Models
• Supersymmetric States in Large N Chern-Simons-Matter Theories
• Mass Deformations of the ABJM Theory: The Holographic Free Energy
• Exact Instanton Expansion of ABJM Partition Function
• Non-planar ABJ Theory and Parity
• Finite-size effects of Membranes on AdS_4 x S_7
• Integrable domain walls in ABJM theory
• A new N=1 AdS4 Vacuum of Maximal Supergravity
• Gauge and Supersymmetric Invariance of a Boundary Bagger-Lambert-Gustavsson Theory
• Multiple M2-Branes and Plane Waves
• Three-dimensional N=8 conformal supergravity and its coupling to BLG M2-branes
• Large N behavior of mass deformed ABJM theory
• A note on Quantum Aspects of Multiple Membranes
• A New and Elementary CP^n Dyonic Magnon
• $\mathcal{N}=2$ Supersymmetric Janus Solutions and Flows: From Gauged Supergravity to M Theory
• The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit
• Exact Solutions in Higher-Dimensional Lovelock and $Ad{S}_5$ Chern-Simons Gravity
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Symplectic Three-Algebra Unifying N=5,6 Superconformal Chern-Simons-Matter Theories
• ABJM Membrane Instanton from Pole Cancellation Mechanism
• 3D Seiberg-like Dualities and M2 Branes
• An all order identity between ABJM and N=4 SYM four-point amplitudes
• A multitrace deformation of ABJM theory
• Fractons and exotic symmetries from branes
• A Monopole Index for N=4 Chern-Simons Theories
• Free Energy vs Sasaki-Einstein Volume for Infinite Families of M2-Brane Theories
• Quantum phase transitions beyond the Landau-Ginzburg paradigm and supersymmetry
• Supersymmetric phases of AdS${}_4$/CFT${}_3$
• The giant graviton on AdS_{4} x CP^{3} - another step towards the emergence of geometry
• Vortices, Q-balls and Domain Walls on Dielectric M2-branes
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• From Schurs to Giants in ABJ(M)
• More Holographic Berezinskii-Kosterlitz-Thouless Transitions
• Aspects of monopole operators in N=6 Chern-Simons theory
• Romans-mass-driven flows on the D2-brane
• Topological Twisting of Multiple M2-brane Theory
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• A note on the reduction of the AdS4 x CP3 string sigma model
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Localization and Attraction
• The BV Formalization of Chern-Simons Theory on Deformed Superspace
• The generalised scaling function: a systematic study
• Spectrum universality properties of holographic Chern-Simons theories
• Exceptional N=6 and N=2 AdS_4 Supergravity, and Zero-Center Modules
• The BPS spectrum of monopole operators in ABJM: towards a field theory description of the giant torus
• Dressed Giant Magnons on CP^3
• Giant Magnons on CP^3 by Dressing Method
• S-folds and (non-)supersymmetric Janus solutions
• BPS Wilson loops in $\mathcal{N}\ge 2$ superconformal Chern-Simons-matter theories
• Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
• Exact Large R-charge Correlators in ABJM Theory
• Low-energy effective actions in three-dimensional extended SYM theories
• Families of Conformal Fixed Points of N=2 Chern-Simons-Matter Theories
• String theory duals of Wilson loops from Higgsing
• Superconformal Indices for Orbifold Chern-Simons Theories
• The quantum 1/2 BPS Wilson loop in $\mathcal{N}=4$ Chern-Simons-matter theories
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• Flowing to Higher Dimensions: A New Strongly-Coupled Phase on M2 Branes
• Octonions, G_2 and generalized Lie 3-algebras
• Embedding the SU(3) sector of SO(8) supergravity in $D=11$
• Double-Trace Flows and the Swampland
• Complete factorization in minimal N=4 Chern-Simons-matter theory
• Superfield theories on $S^3$ and their localization
• M5-brane Solution in ABJM Theory and Three-algebra
• Wilson loops and the geometry of matrix models in AdS_4/CFT_3
• On the effective superpotential in the supersymmetric Chern-Simons theory with matter
• On Effective Action of Multiple M5-branes and ABJM Action
• Evidence for the Holographic dual of $\mathcal{N}=3$ Solution in Massive Type IIA
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• M-Theory and Maximally Supersymmetric Gauge Theories
• N=6 Membrane Worldvolume Superalgebra
• Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory
• Numerical tools to validate stationary points of SO(8)-gauged N=8 D=4 supergravity
• Precision Spectroscopy and Higher Spin symmetry in the ABJM model
• N=1 Chern-Simons theories, orientifolds and Spin(7) cones
• Fuzzy Killing Spinors and Supersymmetric D4 action on the Fuzzy 2-sphere from the ABJM Model
• Membrane Quantum Mechanics
• A Monopole Instanton-Like Effect in the ABJM Model
• (Un)Higgsing the M2-brane
• Coupling between M2-branes and Form Fields
• M2-brane Flows and the Chern-Simons Level
• Penrose limits and spin chains in the GJV/CS-SYM duality
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• M2-branes on a resolved $C_4/Z_4$
• ABJM Dibaryon Spectroscopy
• Neutrino oscillations in Kerr-Newman space-time
• ABJM amplitudes and WL at finite N
• Comments on Baryon-like Operators in N=6 Chern-Simons-matter theory of ABJM
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• The Conformal Manifold of Chern-Simons Matter Theories
• Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
• The Morphology of N=6 Chern-Simons Theory
• On Non-linear Action for Gauged M2-brane
• Localization and Duality for ABJM Latitude Wilson Loops
• Superspace Formulation in a Three-Algebra Approach to D=3, N=4,5 Superconformal Chern-Simons Matter Theories
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Unifying N=5 and N=6
• The many vacua of gauged extended supergravities
• Are There Any New Vacua of Gauged N=8 Supergravity in Four Dimensions?
• Background field formalism and construction of effective action for N=2, d=3 supersymmetric gauge theories
• Localization and Large N reduction on S^3 for the Planar and M-theory limit
• Chern-Simons: Fano and Calabi-Yau
• On the pulsating strings in AdS_4 x CP3
• Two-Loop Spectroscopy of Short ABJM Operators
• BPS Vortices in Non-relativistic M2-brane Chern-Simons-matter Theory
• Perturbing Around A Warped Product Of AdS_4 and Seven-Ellipsoid
• On the effective superpotential in the generic higher-derivative superfield supersymmetric three-dimensional gauge theory
• New Instantons in AdS_4/CFT_3 from D4-Branes Wrapping Some of CP^3
• Correlators of Giant Gravitons from dual ABJ(M) Theory
• A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded
• On the Geometry of Null Polygons in Full N=4 Superspace
• Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory
• Triality and Bagger-Lambert Theory
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Abelian Vortex in Bagger-Lambert-Gustavsson Theory
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Near Flat Space limit of strings on AdS_4 x CP^3
• Comments on Holographic Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Twisted Sectors in Gravity Duals of N=4 Chern-Simons Theories
• Open Spin Chains from Determinant Like Operators in ABJM Theory
• On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling
• The Leading Order Dressing Phase in ABJM Theory
• On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
• The Gauge Dual of A Warped Product of AdS_4 and A Squashed and Stretched Seven-Manifold
• Classification of BPS Objects in N = 6 Chern-Simons Matter Theory
• On the infrared behaviour of 3d Chern-Simons theories in N=2 superspace
• Spin chain for the deformed ABJM theory
• BPS Wilson loops in Minkowski spacetime and Euclidean space
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• ABJM Amplitudes in U-gauge and a Soft Theorem
• On nonsupersymmetric $\BC^4/\BZ_N$, tachyons, terminal singularities and flips
• Integrable Open Spin Chains from Flavored ABJM Theory
• Generating new dualities through the orbifold equivalence: a demonstration in ABJM and four-dimensional quivers
• 3d superconformal indices and isomorphisms of M2-brane theories
• Charges and homologies in AdS_4/CFT_3
• Linear Sigma Models for the R^8/Z_k Orbifold
• M5 spikes and operators in the HVZ membrane theory
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• Superconformal Quantum Mechanics from M2-branes
• Integrability of N = 6 Chern-Simons Theory
• On thermodynamics of N=6 superconformal Chern-Simons theory
• Remark About Scaling Limit of ABJ Theory
• Marginal Fluctuations as Instantons on M2/D2-Branes
• Marginal deformations from type IIA supergravity
• A perturbative study of holographic mABJM theory
• Hypermultiplet gaugings and supersymmetric solutions from 11D and massive IIA supergravity on H${}^{(p,q)}$ spaces
• M2-KK6 System in ABJM Theory : Fuzzy $S^3$ and Wrapped KK6
• A note on interpreting N M2 branes
• Toward a Proof of Montonen-Olive Duality via Multiple M2-branes
• A note on strings in deformed AdS_4 x CP3: giant magnon and single spike solutions
• Integrability of Orbifold ABJM Theories
• M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing
• Probing the Space of Toric Quiver Theories
• On the Vacua of Mass-deformed Gaiotto-Tomasiello Theories
• Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory
• Exact results for Wilson loops in orbifold ABJM theory
• Holographic (Eternal) Inflation
• Spectral Functions in Holographic Renormalization Group Flows
• Wrapping effects in supersymmetric gauge theories
• D=3 N=6 superconformal symmetry of AdS_4 x CP^3 superstring
• BPS operators from the Wilson loop in the 3-dimensional supersymmetric Chern-Simons theory
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• The Eleven-Dimensional Uplift of Four-Dimensional Supersymmetric RG Flow
• Holographic N=1 Supersymmetric Membrane Flows
• Dynamical generation of mass in the noncommutative supersymmetric Schwinger model
• Towards An N=1 SU(3)-Invariant Supersymmetric Membrane Flow In Eleven-Dimensional Supergravity
• New N=2 Supersymmetric Membrane Flow In Eleven-Dimensional Supergravity
• A new large-N limit and the planar equivalence outside the planar limit
• Holographic Duality for three-dimensional Super-conformal Field Theories
• Pure spinor superfields, with application to D=3 conformal models
• Renormalization group flows in gauge-gravity duality
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Supergraphs and the cubic Leigh-Strassler model
• KK6 from M2 in ABJM
• Three-Point Functions in ABJM and Bethe Ansatz
• Holographic duality and applications
• Superconformal Chern-Simons theories beyond leading order
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry
• DNA Mutations via Chern-Simons Currents
• Enhanced Supersymmetry of Nonrelativistic ABJM Theory
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
• A mass-deformed BLG theory in Gribov-Zwanziger framework
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime
• Half-BPS M2-brane orbifolds
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• Finite-size Effect for Dyonic Giant Magnons in $C{P}_{\beta }^3$
• ${\tau }_{RR}$ minimization in presence of hypermultiplets
• Separability in Consistent Truncations
• Tenfold Way for Holography : AdS/CFT and Beyond
• The Aharony-Bergman-Jafferis-Maldacena theory on a circle
• Mass Deformed L-BLG Theory From ABJ Theory
• Aspects of ABJM orbifolds with discrete torsion
• Metric 3-Leibniz algebras and M2-branes
• Embedding and partial resolution of complex cones over Fano threefolds
• Baryonic symmetries in AdS_4/CFT_3: an overview
• Exact beta-functions in softly-broken N=2 Chern-Simons matter theories