Comments on Multiple M2-branes

Abstract

Recently a three-dimensional field theory was derived that is consistent with all the symmetries expected of the worldvolume action for multiple M2-branes. In this note we examine several physical predictions of this model and show that they are in agreement with expected M2-brane dynamics. In particular, we discuss the quantization of the Chern-Simons coefficient, the vacuum moduli space, a massive deformation leading to fuzzy three-sphere vacua, and a possible large n limit. In this large n limit, the fuzzy funnel solution correctly reproduces the mass of an M5-brane.

18 pages. Published version

References in corpus (5)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• M-theory branes and their interactions
• A note on the M2-M5 brane system and fuzzy spheres

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• Yangian Symmetry in Five Dimensions
• Partial resolution of complex cones over Fano $\mathcal{B}$
• Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
• BPS $M2$-branes in $Ad{S}_4\times Q^{1,1,1}$ Dual to Loop Operators
• Relations between M-brane and D-brane quantum geometries
• 3d CFT and Multi M2-brane Theory on RxS^2
• Quiver Chern-Simons theories and 3-algebra orbifolds
• Free Energy of ABJM Theory
• Hidden Local and Non-local Symmetries of S-matrices of N=2,4,8 SYM in D=2+1
• Multiple M0-brane equations in eleven dimensional pp-wave superspace and BMN matrix model
• Higher Derivative BLG: Lagrangian and Supersymmetry Transformations
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory
• Janus Field Theories from Non-Linear BF Theories for Multiple M2-Branes
• Lorentz Covariant Lagrangians of Self-dual Gauge Fields
• Polyadic systems, representations and quantum groups
• 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
• Instantonic string solitons on M5 branes
• Charges of Monopole Operators in $\widehat{ADE}$ Chern-Simons Quiver Gauge Theories
• Monopole--Instantons in M2-brane Theories
• Quadratic and symplectic structures on 3-(Hom)-$\rho$-Lie algebras
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime
• Split 3-Lie-Rinehart color algebras
• The constructions of 3-Hom-Lie bialgebras
• A mass-deformed BLG theory in Gribov-Zwanziger framework
• Metric $n$-Lie Algebras
• Moduli and BPS configurations of the BLG theory
• Necessary conditions for Ternary Algebras
• Mass Deformation of the Multiple M2 Branes Theory
• Half-BPS M2-brane orbifolds
• Non-supersymmetric CS-matter theories with known AdS duals
• 3-Leibniz bialgebra in $N=6$ Chern-Simons gauge theories, multiple M2 to D2 branes and vice versa
• Embedding and partial resolution of complex cones over Fano threefolds
• Mass generation for Self-dual Gauge Fields via Topologically Coupling
• Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties
• The AdS/CFT Correspondence and Symmetry Breaking
• Aspects of ABJM orbifolds with discrete torsion
• Algebraic Form of M3-Brane Action
• Oblique DLCQ M-theory and Multiple M2-branes
• Mass Deformed L-BLG Theory From ABJ Theory
• Generalized Heisenberg Dynamics Revisited
• Metric 3-Leibniz algebras and M2-branes
• Entanglement and Excitations in Gauge/Gravity Duality
• Baryonic symmetries in AdS_4/CFT_3: an overview
• Extension of Malcev algebra and applications to gravity
• The ${\mathcal{N}}_3=3\to {\mathcal{N}}_3=4$ enhancement of Super Chern-Simons theories in $D=3$, Calabi HyperKähler metrics and M2-branes on the $\mathcal{C}({\mathrm{N}}^{0,1,0})$ conifold
• One-loop Renormalized Coefficient of Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories in Three Dimensions
• Complex Chern-Simons and Gribov
• F-string Solution in AdS4 X CP3 PP-wave Background