Algebraic structures on parallel M2-branes

Abstract

In the course of closing supersymmetry on parallel M2 branes up to a gauge transformation, following the suggestion in hep-th/0611108 of incorporating a gauge field which only has topological degrees of freedom, we are led to assume a certain algebraic structure for the low energy theory supposedly living on parallel M2 branes.

13 pages; v4: complete on-shell closure of supersymmetry, abstract changed, v5: gauge transformations are carefully defined

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• A note on $\mathcal{N}\ge 6$ Superconformal Quantum Field Theories in three dimensions
• Coupling M2-branes to background fields
• Light-cone analysis of ungauged and topologically gauged BLG theories
• Dynamical supersymmetry in maximally supersymmetric gauge theories
• Multiple M-wave interaction with fluxes
• Worldvolume Superalgebra Of BLG Theory With Nambu-Poisson Structure
• A non-associative quaternion scalar field theory
• Twisted Sectors in Gravity Duals of N=4 Chern-Simons Theories
• Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
• Emergence of F(R) gravity-analogue due to defects in graphene
• Action for the eleven dimensional multiple M-wave system
• An Introduction to Counting Orbifolds
• N=5 three-algebras and 5-graded Lie superalgebras
• The BLG Theory in Light-Cone Superspace
• Confinement and duality in supersymmetric gauge theories
• Self-dual String and Higher Instanton Solutions
• Fermionic T-duality and U-duality in type II supergravity
• Classification of BPS Objects in N = 6 Chern-Simons Matter Theory
• On nonsupersymmetric $\BC^4/\BZ_N$, tachyons, terminal singularities and flips
• Probing AdS4/CFT3 proposals beyond chiral rings
• Spin chain for the deformed ABJM theory
• Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
• Selfduality and Chern-Simons Theory
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• The birth of the universe in a new G-Theory approach
• On the infrared behaviour of 3d Chern-Simons theories in N=2 superspace
• Anomalies without an action
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Exact partition function in $U(2)\times U(2)$ ABJM theory deformed by mass and Fayet-Iliopoulos terms
• Extended generalized geometry and a DBI-type effective action for branes ending on branes
• Stringy Membranes in AdS/CFT
• Superconformal Quantum Mechanics from M2-branes
• Aspects of topologically gauged M2-branes with six supersymmetries: towards a "sequential AdS/CFT"?
• Linear Sigma Models for the R^8/Z_k Orbifold
• Charges and homologies in AdS_4/CFT_3
• Teleparallel loop quantum cosmology in a system of intersecting branes
• Y-system for $\gamma$-deformed ABJM Theory
• Three-Algebra BFSS Matrix Theory
• Covariant action and equations of motion for the eleven dimensional multiple M0-brane system
• On superconformal Chern-Simons-matter theories in N=4 superspace
• Lectures on 4d N=1 dynamics and related topics
• Higher Structures in M-Theory
• 3d superconformal indices and isomorphisms of M2-brane theories
• Coupling of the BLG theory to a conformal supergravity background
• D-brane in R-R Field Background
• Dynamical (super)symmetry vacuum properties of the supersymmetric Chern-Simons-matter model
• Still in Light-Cone Superspace
• M5 spikes and operators in the HVZ membrane theory
• Torsional degrees of freedom in AdS4/CFT3
• On thermodynamics of N=6 superconformal Chern-Simons theory
• Hydrodynamics on non-commutative space --A step toward hydrodynamics of granular materials--
• Five-dimensional super Yang-Mills theory from ABJM theory
• Partonic description of a supersymmetric p-brane
• Exact correlators in the Gaussian Hermitian matrix model
• Supersymmetric Wilson Loops in Diverse Dimensions
• Periodic Arrays of M2-Branes
• D=(2+1) O(N) Wess-Zumino model in a large N limit
• BLG theory with generalized Jordan triple systems
• Remark About Scaling Limit of ABJ Theory
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• M2-KK6 System in ABJM Theory : Fuzzy $S^3$ and Wrapped KK6
• On Dielectric Membranes
• 3-Lie bialgebras and 3-Lie classical Yang-Baxter equations in low dimensions
• The non-Abelian tensor multiplet
• A note on interpreting N M2 branes
• Two-loop low-energy effective action in Abelian supersymmetric Chern-Simons matter models
• Nambu Quantum Mechanics on Discrete 3-Tori
• Interference and Oscillation in Nambu Quantum Mechanics
• Fermionic Response in Finite-Density ABJM Theory with Broken Symmetry
• Toward a Proof of Montonen-Olive Duality via Multiple M2-branes
• Weyl Anomaly and Vacuum Magnetization Current of M5-brane in Background Flux
• Towards 2+4 formulation of M5-brane
• Ward identities and gauge flow for M-theory in $\mathcal{N}=3$ superspace
• Supersymmetry Breaking in Chern-Simons-matter Theories
• Lessons from the Vacuum Structure of 4d N=2 Supergravity
• Holographic RG flows and symplectic deformations of N=4 gauged supergravity
• M5-branes in ABJM theory and Nahm equation
• The Yang-Mills and chiral fields in six dimensions
• Nambu-Poisson Bracket and M-Theory Branes Coupled to Antisymmetric Fluxes
• A note on strings in deformed AdS_4 x CP3: giant magnon and single spike solutions
• Higher spins, quadratic forms and amplitudes
• The Background Field Method for N = 2, d3 Super Chern-Simons-Matter Theories
• $W_{1+\infty }$ constraints for the hermitian one-matrix model
• BPS preons and the AdS-M-algebra
• Magnetic Domains
• Gravitational free energy in topological AdS/CFT
• Extension of IIB Matrix Model by Three-Algebra
• Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings
• Spectral analysis of polynomial potentials and its relation with ABJ/M-type theories
• Mass-Deformed Super Yang-Mills Theories from M2-Branes with Flux
• M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing
• Two-loop low-energy effective actions in N=2 and N=4 three-dimensional SQED
• Integrability of BPS equations in ABJM theory
• Non-Abelian Self-Dual Strings in Six Dimensions from Four Dimensional 1/2-BPS Monopoles
• Finite Field-dependent Symmetry in Thirring Model
• Comments on Higher Order BLG Supersymmetry Transformations
• Supersymmetric action for multiple D0-brane system
• Probing the Space of Toric Quiver Theories
• Manifestly Covariant Polynomial M5-brane Lagrangians
• Higher spins from Nambu-Chern-Simons theory
• Wilson loops in N=6 superspace for ABJM theory
• Cartan-Weyl 3-algebras and the BLG Theory I: Classification of Cartan-Weyl 3-algebras
• More on the scalar-tensor B-F theory
• Spontaneous breaking of nilpotent symmetry in boundary BLG theory
• Gauge Fields, Membranes and Subdeterminant Vector Models
• A N=8 action for multiple M2-branes with an arbitrary number of colors
• 3-Leibniz bialgebras (3-Lie bialgebras)
• Exact M-Theory Solutions, Integrable Systems, and Superalgebras
• R-symmetry and supersymmetry breaking in 3D WZ models
• Construction of New D=3, N=4 Quiver Gauge Theories
• Correlation functions of the ABJM model
• Classification of $(n+3)$-dimensional metric $n$-Lie algebras
• Half-BPS quotients in M-theory: ADE with a twist
• Noncommutative supersymmetric Chern-Simons-matter model
• BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
• D-branes of A-type, their deformations, and Morse cobordism of A-branes on Calabi-Yau 3-folds under a split attractor flow: Donaldson/Alexander-Hilden-Lozano-Montesinos-Thurston/Hurwitz/Denef-Joyce meeting Polchinski-Grothendieck
• Finite BRST Mapping in Higher Derivative Models
• Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions
• BLG theories at low values of Chern-Simons coupling
• Non-topological Vortex Configurations in the ABJM Model
• Supersymmetric non-Abelian multiwaves in D=3 AdS superspace
• Cosmological expansion and contraction from Pauli exclusion principle in $M0$-branes
• Constructing 3-Lie algebras
• Reviving 3D $\mathcal{N}=8$ superconformal field theories
• General Lagrangian of Non-Covariant Self-dual Gauge Field
• Seiberg-Witten Map for D-branes in Large R-R Field Background
• 3D supersymmetric nonlinear multiple D$0$-brane action and 4D counterpart of multiple M-wave system
• Integrability structures in string theory
• Nambu-Poisson dynamics with some applications
• Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted
• Inverse algorithm and M2-brane theories
• Branes from a non-Abelian (2,0) tensor multiplet with 3-algebra
• M-Brane Models and Loop Spaces
• Fusion of Superalgebras and D=3, N=4 Quiver Gauge Theories
• Exceptional Lie algebras and M-theory
• Cartan-Weyl 3-algebras and the BLG Theory II: Strong-Semisimplicity and Generalized Cartan-Weyl 3-algebras
• Quantum corrections of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra
• Reduction of the N=8 BLG and N=6 BL Theories to 2D Effective Field Theories
• Dilatation operator in 3d
• A proposal for M2-brane-anti-M2-brane action
• On Supersymmetric Flux Solutions of M-theory
• M2 to D2 and vice versa by 3-Lie and Lie bialgebra
• On q-deformed infinite-dimensional n-algebra
• KK6 from M2 in BLG
• On the Higgsing and UnHiggsing of Fano 3-Folds
• Covariantly Constant Curvature Tensors and D=3, N=4, 5, 8 Chern-Simons Matter Theories
• Topological actions via gauge variations of higher structures
• Recent Trends in Superstring Phenomenology
• Pure spinor superfields, with application to D=3 conformal models
• A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1
• Quiver Gauge Theories: Beyond Reflexivity
• Aspects of Supersymmetry in Multiple Membrane Theories
• Lie 3-Algebra Non-Abelian (2,0) Theory in Loop Space
• Complete type IIA superstring action on IIA plane wave background
• Ward and Nielsen Identities for ABJM Theory in $\mathcal{N}=1$ Superspace
• Quasi-Instantons and Supersymmetry Breaking
• From Basu-Harvey to Nahm equation via 3-Lie bialgebra
• Extended Gauge Theory Deformations From~Flux~Backgrounds
• Nambu variant of Local Resolution of Problem of Time and Background Independence
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Complete superspace classification of three-dimensional Chern-Simons-matter theories coupled to supergravity
• Triple M-brane configurations and preserved supersymmetries
• On a generalization of Lie($k$): a CataLAnKe theorem
• Klebanov-Witten flows in M-theory
• OSp(5|4) Superconformal Symmetry of N=5 Chern-Simons Theory
• Four-algebraic extension of the IIB matrix model
• Categorical Perspective on Quantization of Poisson Algebra
• Membrane scattering from Bagger-Lambert theory
• Dynamical generation of mass in the noncommutative supersymmetric Schwinger model
• Introductory Lectures on Multiple Membranes
• On supersymmetric M-brane configurations with R^{1,1}_{*}/Z_2 submanifold
• Lie $3-$algebra and super-affinization of split-octonions
• On Chern-Simons Quivers and Toric Geometry
• Deformation of half-BPS solution in ABJM model and instability of supermembrane
• KK6 from M2 in ABJM
• Mass-Deformed BLG Theory in Light-Cone Superspace
• Yangian Symmetry in Five Dimensions
• Enhanced Supersymmetry of Nonrelativistic ABJM Theory
• Generalized BIons in M-theory
• Hamiltonian approach and quantization of $D=3,\mathcal{N}=1$ supersymmetric non-Abelian multiwave system
• Partial resolution of complex cones over Fano $\mathcal{B}$
• Deconstructing Supersymmetric S-matrices in D <= 2 + 1
• Exact Results in Supersymmetric Gauge Theories
• Relations between M-brane and D-brane quantum geometries
• Classification of linearly compact simple N=6 3-algebras
• BPS $M2$-branes in $Ad{S}_4\times Q^{1,1,1}$ Dual to Loop Operators
• Superconformal Chern-Simons theories beyond leading order
• Semi-classical monopole operators in Chern-Simons-matter theories
• Renormalization group flows in gauge-gravity duality
• Generalized derivations of $3$-Lie algebras
• Remarks on Gribov mechanism on N=1 Supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory
• Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
• Algebraic vs physical N=6 3-algebras
• Quaternion based generalization of Chern-Simons theories in arbitrary dimensions
• Holographic duality and applications
• Off-shell construction of superconformal Chern-Simons theories in three dimensions
• On R^4 terms and MHV amplitudes in N = 5,6 supergravity vacua of Type II superstrings
• Recent Progress in AdS/CFT
• Multiple M-branes and 3-algebras
• Deformations and extensions of modified $\lambda$-differential $3$-Lie Algebras
• Higher Derivative BLG: Lagrangian and Supersymmetry Transformations
• Modeling M-Theory Vacua via Gauged S-Duality
• Branes, Quantization and Fuzzy Spheres
• Free Energy of ABJM Theory
• Hypermatrix factors for string and membrane junctions
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory
• Quiver Chern-Simons theories and 3-algebra orbifolds
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime
• 3-Algebraic structures of the quantum Calogero-Moser model
• Emergence of the world with Lie-N-algebra and M-dimensions from nothing
• A mass-deformed BLG theory in Gribov-Zwanziger framework
• More M-branes on product of Ricci-flat manifolds
• Metric $n$-Lie Algebras
• Moduli and BPS configurations of the BLG theory
• On the origin of generalized uncertainty principle from compactified M5-brane
• Heterotic M2-branes
• Hidden Local and Non-local Symmetries of S-matrices of N=2,4,8 SYM in D=2+1
• Isotropic ideals of metric n-Lie algebras
• Fuzzy Kaluza-Klein induced M2's from a single M5
• Split 3-Lie-Rinehart color algebras
• Vacua, Symmetries, and Higgsing of Chern-Simons Matter Theories
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• Multiple M0-brane equations in eleven dimensional pp-wave superspace and BMN matrix model
• Quantization of Nambu Brackets from Operator Formalism in Classical Mechanics
• Non-supersymmetric CS-matter theories with known AdS duals
• Explicit Non-Abelian Gerbes with Connections
• Janus Field Theories from Non-Linear BF Theories for Multiple M2-Branes
• M5-brane prongs, string soliton bound states and wall-crossing
• Charges of Monopole Operators in $\widehat{ADE}$ Chern-Simons Quiver Gauge Theories
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory
• Lorentz Covariant Lagrangians of Self-dual Gauge Fields
• A simplified presentation of Specht modules
• A 6D nonabelian $(1,0)$ Theory
• M2- and M5-branes in E11 Current Algebra Formulation of M-theory
• Reduced Chern-Simons Quiver Theories and Cohomological 3-Algebra Models
• Instantonic string solitons on M5 branes
• On $W_{1+\infty }$ 3-algebra and integrable system
• 3d CFT and Multi M2-brane Theory on RxS^2
• Large J expansion in ABJM theory revisited
• Unexpected Features of Supersymmetry with Central Charges
• Nonabelian embedding tensors on 3-Lie algebras and 3-Leibniz-Lie algebras
• Oblique DLCQ M-theory and Multiple M2-branes
• Generalized Higher Gauge Theory and M5-brane dynamics. Proceedings: Higher structures in String and M-theory, Tohoku Forum for Creativity, March 7-11 2016
• Non-abelian D=11 Supermembrane
• Higher Order BLG Supersymmetry Transformations from 10-Dimensional Super Yang Mills
• A Lorentz Covariant Matrix Model for Bosonic M2-Branes: Nambu Brackets and Restricted Volume-Preserving Deformations
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs
• Mass generation for Self-dual Gauge Fields via Topologically Coupling
• The evolution of Brown-York quasilocal energy due to evolution of Lovelock gravity in a system of M0-branes
• Generalized Heisenberg Dynamics Revisited
• Complex Chern-Simons and Gribov
• Adjusting Higher Chern-Simons Theory
• Multiple D${}_p$-branes as a D${}_{p+2}$-brane
• Metric 3-Leibniz algebras and M2-branes
• The AdS/CFT Correspondence and Symmetry Breaking
• Entanglement and Excitations in Gauge/Gravity Duality
• The infinite dimensional Unital 3-Lie Poisson algebra
• Spinorial geometry, horizons and superconformal symmetry in six dimensions
• 3-Leibniz bialgebra in $N=6$ Chern-Simons gauge theories, multiple M2 to D2 branes and vice versa
• Extension of Malcev algebra and applications to gravity
• Algebraic Form of M3-Brane Action
• Noncommutative $\mathcal{N}=2$ Chern-Simons-matter model
• Mass Deformed L-BLG Theory From ABJ Theory
• Aspects of ABJM orbifolds with discrete torsion
• The $\mathcal{O}\mathcal{S}\mathcal{P}(2,2|16)$ superconformal theory is free!
• D-instantons and Dualities in String Theory
• Tiny Graviton Matrix Theory On Time-Dependent Background
• Hidden quartic symmetry in N=2 supersymmetry
• Baryonic symmetries in AdS_4/CFT_3: an overview
• Topics in 3D N=2 AdS supergravity in superspace
• The M2/M5 BPS Partition Functions from Supergravity
• Embedding and partial resolution of complex cones over Fano threefolds