Modeling Multiple M2's

Abstract

We investigate the worldvolume theory that describes N coincident M2-branes ending on an M5 brane. We argue that the fields that describe the transverse spacetime coordinates take values in a non-associative algebra. We postulate a set of supersymmetry transformations and find that they close into a novel gauge symmetry. We propose a three-dimensional N=2 supersymmetric action to describe the truncation of the full theory to the scalar and spinor fields, and show how a Basu-Harvey fuzzy funnel arises as the BPS solution to this theory.

Typos corrected, version to appear in PRD

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• Superconformal Chern-Simons Theories
• The M2-M5 Brane System and a Generalized Nahm's Equation
• On spherical harmonics for fuzzy spheres in diverse dimensions
• Non-abelian Brane Intersections
• Higher dimensional geometries related to fuzzy odd-dimensional spheres
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• U-duality covariant membranes
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Cited by in corpus (550)

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• 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
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• Nonassociative Gravity in String Theory?
• Brane Tilings and M2 Branes
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
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• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• Quantized Nambu-Poisson Manifolds and n-Lie Algebras
• Vortex-type Half-BPS Solitons in ABJM Theory
• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• M-Theory Superalgebra From Multiple Membranes
• Chern--Simons Vortices in the Gudnason Model
• On Half-BPS States of the ABJM Theory
• Gravity in the 3+1-Split Formalism II: Self-Duality and the Emergence of the Gravitational Chern-Simons in the Boundary
• Supersymmetric non-relativistic geometries in M-theory
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• Three-algebras, triple systems and 3-graded Lie superalgebras
• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
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• Deformations of 3-algebras
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• A note on dual giant gravitons in $Ad{S}_4\times {\mathbb{CP}}^3$
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit
• Three-Algebras in N = 5, 6 Superconformal Chern-Simons Theories: Representations and Relations
• Some BPS configurations of the BLG Theory
• Existence Theorems for Vortices in the Aharony--Bergman--Jaferis--Maldacena Model
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• On de Sitter Spacetime and String Theory
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• Higher (Odd) Dimensional Quantum Hall Effect and Extended Dimensional Hierarchy
• Metric Lie n-algebras and double extensions
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
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• Supersymmetry and Mass Gap in 2+1 Dimensions: A Gauge Invariant Hamiltonian Analysis
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• Complete factorization in minimal N=4 Chern-Simons-matter theory
• Nonassociativity, Malcev Algebras and String Theory
• Beyond the Planar Limit in ABJM
• A Concise Review on M5-brane in Large C-Field Background
• Octonions, G_2 and generalized Lie 3-algebras
• Gauge and Supersymmetry Invariance of N=2 Boundary Chern-Simons Theory
• Fermi surface behavior in the ABJM M2-brane theory
• From $L_{\infty }$-algebroids to higher Schouten/Poisson structures
• Five-Dimensional Non-Lorentzian Conformal Field Theories and their Relation to Six-Dimensions
• A No-Go Theorem for M5-brane Theory
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• M5-brane Solution in ABJM Theory and Three-algebra
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
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• Aspects of ABJ Theory
• Non-Abelian Chiral 2-Form and M5-Branes
• M-Theory and Maximally Supersymmetric Gauge Theories
• Critical solutions in topologically gauged N=8 CFTs in three dimensions
• N=6 Membrane Worldvolume Superalgebra
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• Non-anticommutative ABJ Theory
• On the Problem of Multiple M2 Branes
• Precision Spectroscopy and Higher Spin symmetry in the ABJM model
• Nambu Bracket for M Theory
• Membrane Quantum Mechanics
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• Covariant Formulation of M-Theory
• Emergence and expansion of cosmic space as due to M0-branes
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• The low-energy N=4 SYM effective action in diverse harmonic superspaces
• Fuzzy Killing Spinors and Supersymmetric D4 action on the Fuzzy 2-sphere from the ABJM Model
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• Double Handled Brane Tilings
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• Higher-derivative gauge interactions of Bagger-Lambert-Gustavsson theory in N=1 superspace
• 5d and 6d SCFTs Have No Weak Coupling Limit
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• D=(2+1) O(N) Wess-Zumino model in a large N limit
• On Dielectric Membranes
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• Supersymmetric Wilson Loops in Diverse Dimensions
• BLG theory with generalized Jordan triple systems
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• Remark About Scaling Limit of ABJ Theory
• The partially alternating ternary sum in an associative dialgebra
• Nambu Quantum Mechanics on Discrete 3-Tori
• Exact correlators in the Gaussian Hermitian matrix model
• A note on strings in deformed AdS_4 x CP3: giant magnon and single spike solutions
• $W_{1+\infty }$ constraints for the hermitian one-matrix model
• Parafermions for higher order extensions of the Poincaré algebra and their associated superspace
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• Superalgebra Realization of the 3-algebras in N=6, 8 Chern-Simons-matter Theories
• Ward identities and gauge flow for M-theory in $\mathcal{N}=3$ superspace
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• Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings
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• Nambu-Poisson Bracket and M-Theory Branes Coupled to Antisymmetric Fluxes
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• BPS preons and the AdS-M-algebra
• Lessons from the Vacuum Structure of 4d N=2 Supergravity
• Instanton String and M-Wave in Multiple M5-Branes System
• Extension of IIB Matrix Model by Three-Algebra
• Holographic RG flows and symplectic deformations of N=4 gauged supergravity
• Towards 2+4 formulation of M5-brane
• Gravitational free energy in topological AdS/CFT
• Manifestly Covariant Polynomial M5-brane Lagrangians
• Higher spins from Nambu-Chern-Simons 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
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• (p+1)-Algebra for Super p-Brane: the Nambu Bracket Reformulation
• Half-BPS quotients in M-theory: ADE with a twist
• Mock Modular Index of M2-M5 Brane System
• Finite BRST Mapping in Higher Derivative Models
• Classification of $(n+3)$-dimensional metric $n$-Lie algebras
• Supersymmetric action for multiple D0-brane system
• Cartan-Weyl 3-algebras and the BLG Theory I: Classification of Cartan-Weyl 3-algebras
• Exact M-Theory Solutions, Integrable Systems, and Superalgebras
• 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
• Comments on Higher Order BLG Supersymmetry Transformations
• R-symmetry and supersymmetry breaking in 3D WZ models
• Gauge Fields, Membranes and Subdeterminant Vector Models
• Spontaneous breaking of nilpotent symmetry in boundary BLG theory
• Noncommutative supersymmetric Chern-Simons-matter model
• A proposal for M2-brane-anti-M2-brane action
• Matrix Quantization of Classical Nambu Brackets and Super $p$-Branes
• Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted
• Exceptional Lie algebras and M-theory
• Nambu-Poisson dynamics with some applications
• Dilatation operator in 3d
• Fusion of Superalgebras and D=3, N=4 Quiver Gauge Theories
• Non-topological Vortex Configurations in the ABJM Model
• New Two Dimensional Massless Field Theory from Bagger-Lambert-Gustavsson Model
• 3D supersymmetric nonlinear multiple D$0$-brane action and 4D counterpart of multiple M-wave system
• Reduction of the N=8 BLG and N=6 BL Theories to 2D Effective Field Theories
• Constructing 3-Lie algebras
• Cartan-Weyl 3-algebras and the BLG Theory II: Strong-Semisimplicity and Generalized Cartan-Weyl 3-algebras
• Seiberg-Witten Map for D-branes in Large R-R Field Background
• Topics on n-ary algebras
• Integrability structures in string theory
• General Lagrangian of Non-Covariant Self-dual Gauge Field
• Branes from a non-Abelian (2,0) tensor multiplet with 3-algebra
• A D2-brane in the Penrose limits of AdS(4)x CP(3)
• Open M2-branes with Flux and Modified Basu-Harvey Equation
• The Gauge Dual of Gauged N=8 Supergravity Theory
• Triple M-brane configurations and preserved supersymmetries
• Dynamical generation of mass in the noncommutative supersymmetric Schwinger model
• Lie 3-Algebra Non-Abelian (2,0) Theory in Loop Space
• Introductory Lectures on Multiple Membranes
• Aspects of Supersymmetry in Multiple Membrane Theories
• Recent Trends in Superstring Phenomenology
• Pure spinor superfields, with application to D=3 conformal models
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Higher identities for the ternary commutator
• OSp(5|4) Superconformal Symmetry of N=5 Chern-Simons Theory
• Klebanov-Witten flows in M-theory
• Covariantly Constant Curvature Tensors and D=3, N=4, 5, 8 Chern-Simons Matter Theories
• On the Higgsing and UnHiggsing of Fano 3-Folds
• M2 to D2 and vice versa by 3-Lie and Lie bialgebra
• From Basu-Harvey to Nahm equation via 3-Lie bialgebra
• Complete superspace classification of three-dimensional Chern-Simons-matter theories coupled to supergravity
• KK6 from M2 in BLG
• Holographic N=1 Supersymmetric Membrane Flows
• Categorical Perspective on Quantization of Poisson Algebra
• Quiver Gauge Theories: Beyond Reflexivity
• N=8 Gauged Supergravity Theory and N=6 Superconformal Chern-Simons Matter Theory
• Four-algebraic extension of the IIB matrix model
• Membrane scattering from Bagger-Lambert theory
• Some Results on Cubic and Higher Order Extensions of the Poincaré Algebra
• A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1
• Complete type IIA superstring action on IIA plane wave background
• Ward and Nielsen Identities for ABJM Theory in $\mathcal{N}=1$ Superspace
• On q-deformed infinite-dimensional n-algebra
• Interpreting the M2-brane Action
• Renormalization group flows in gauge-gravity duality
• Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
• Relations between M-brane and D-brane quantum geometries
• Perturbative aspects of mass-deformed N=3 Chern-Simons-matter theory
• Remarks on Gribov mechanism on N=1 Supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory
• Lie $3-$algebra and super-affinization of split-octonions
• Hamiltonian approach and quantization of $D=3,\mathcal{N}=1$ supersymmetric non-Abelian multiwave system
• Exact Results in Supersymmetric Gauge Theories
• Mass-Deformed BLG Theory in Light-Cone Superspace
• Superspace approach to the renormalization of the O'Raifeartaigh model up to the second order in the LDE parameter
• Holographic duality and applications
• Multiple M-branes and 3-algebras
• Partial resolution of complex cones over Fano $\mathcal{B}$
• Quaternion based generalization of Chern-Simons theories in arbitrary dimensions
• Generalized derivations of $3$-Lie algebras
• On Chern-Simons Quivers and Toric Geometry
• Deconstructing Supersymmetric S-matrices in D <= 2 + 1
• On supersymmetric M-brane configurations with R^{1,1}_{*}/Z_2 submanifold
• BPS $M2$-branes in $Ad{S}_4\times Q^{1,1,1}$ Dual to Loop Operators
• Superconformal Chern-Simons theories beyond leading order
• On R^4 terms and MHV amplitudes in N = 5,6 supergravity vacua of Type II superstrings
• Semi-classical monopole operators in Chern-Simons-matter theories
• Construction of a Massive ABJM Theory Without Higgs Superfields
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory
• Lorentz Covariant Lagrangians of Self-dual Gauge Fields
• k-Leibniz algebras from lower order ones: from Lie triple to Lie l-ple systems
• On $W_{1+\infty }$ 3-algebra and integrable system
• Large J expansion in ABJM theory revisited
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime
• 3-Algebraic structures of the quantum Calogero-Moser model
• Fuzzy Kaluza-Klein induced M2's from a single M5
• Hidden Local and Non-local Symmetries of S-matrices of N=2,4,8 SYM in D=2+1
• More M-branes on product of Ricci-flat manifolds
• Free Energy of ABJM Theory
• Modeling M-Theory Vacua via Gauged S-Duality
• Quantization of Nambu Brackets from Operator Formalism in Classical Mechanics
• Hypermatrix factors for string and membrane junctions
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• Quiver Chern-Simons theories and 3-algebra orbifolds
• Topologically Stable BPS and Non-BPS States in Supersymmetric $\mathcal{N}=2$ Baby-Skyrme Model
• Split 3-Lie-Rinehart color algebras
• On the origin of generalized uncertainty principle from compactified M5-brane
• A mass-deformed BLG theory in Gribov-Zwanziger framework
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory
• Janus Field Theories from Non-Linear BF Theories for Multiple M2-Branes
• Metric $n$-Lie Algebras
• Moduli and BPS configurations of the BLG theory
• Isotropic ideals of metric n-Lie algebras
• Non-supersymmetric CS-matter theories with known AdS duals
• Membranes, Strings and Integrability
• Mass Deformation of the Multiple M2 Branes Theory
• 3d CFT and Multi M2-brane Theory on RxS^2
• Tiny Graviton Matrix Theory On Time-Dependent Background
• Alternating quaternary algebra structures on irreducible representations of sl(2,C)
• Mass generation for Self-dual Gauge Fields via Topologically Coupling
• Generalized Higher Gauge Theory and M5-brane dynamics. Proceedings: Higher structures in String and M-theory, Tohoku Forum for Creativity, March 7-11 2016
• Entanglement and Excitations in Gauge/Gravity Duality
• Topics in 3D N=2 AdS supergravity in superspace
• Generalized Heisenberg Dynamics Revisited
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs
• The M2/M5 BPS Partition Functions from Supergravity
• A Lorentz Covariant Matrix Model for Bosonic M2-Branes: Nambu Brackets and Restricted Volume-Preserving Deformations
• Non-abelian D=11 Supermembrane
• Multiple D${}_p$-branes as a D${}_{p+2}$-brane
• Complex Chern-Simons and Gribov
• F-string Solution in AdS4 X CP3 PP-wave Background
• 3-Leibniz bialgebra in $N=6$ Chern-Simons gauge theories, multiple M2 to D2 branes and vice versa
• The $\mathcal{O}\mathcal{S}\mathcal{P}(2,2|16)$ superconformal theory is free!
• Mass Deformed L-BLG Theory From ABJ Theory
• Embedding and partial resolution of complex cones over Fano threefolds
• Noncommutative $\mathcal{N}=2$ Chern-Simons-matter model
• Algebraic Form of M3-Brane Action
• Metric 3-Leibniz algebras and M2-branes
• Exact beta-functions in softly-broken N=2 Chern-Simons matter theories
• Universal associative envelopes of (n+1)-dimensional n-Lie algebras
• Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics