M2 to D2

Abstract

We examine the recently proposed "3-algebra" field theory for multiple M2-branes and show that when a scalar field valued in the 3-algebra develops a vacuum expectation value, the resulting Higgs mechanism has the novel effect of promoting topological (Chern-Simons) to dynamical (Yang-Mills) gauge fields. This leads to a precise derivation of the maximally supersymmetric Yang-Mills theory on multiple D2-branes and thereby provides a relationship between 3-algebras and Yang-Mills theories. We discuss the physical interpretation of this result.

1+16 pages, LaTeX; v2: calculation unchanged, interpretation expanded and moved to last section, references added

References in corpus (4)

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

Cited by in corpus (66)

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• An N=1 Superfield Action for M2 branes
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• From N M2's to N D2's
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
• On 3d N=8 Lorentzian BLG theory as a scaling limit of 3d superconformal N=6 ABJM theory
• The Power of the Higgs Mechanism: Higher-Derivative BLG Theories
• Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory
• Multiple D2-Brane Action from M2-Branes
• Vortex-type Half-BPS Solitons in ABJM Theory
• Finite field-dependent BRST symmetry for ABJM theory in $\mathcal{N}=1$ superspace
• Metric 3-Lie algebras for unitary Bagger-Lambert theories
• A note on Quantum Aspects of Multiple Membranes
• $G_2$-structures and quantization of non-geometric M-theory backgrounds
• On Large N Solution of Gaiotto-Tomasiello Theory
• N=8 Superspace Constraints for Three-dimensional Gauge Theories
• The 3-Lie Algebra (2,0) Tensor Multiplet and Equations of Motion on Loop Space
• Super-Yang-Mills Theory in SIM(1) Superspace
• Topological Chern-Simons Sigma Model
• Yang-Mills as massive Chern-Simons theory: a third way to three-dimensional gauge theories
• Constructing Self-Dual Strings
• Low-energy effective actions in three-dimensional extended SYM theories
• Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
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• N=6 Membrane Worldvolume Superalgebra
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• Model of M-theory with Eleven Matrices
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• M2-brane Flows and the Chern-Simons Level
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• Leading low-energy effective action in the 6D hypermultiplet theory on a vector/tensor background
• Interaction between M2-branes and Bulk Form Fields
• Dimensional reduction of the ABJM model
• Aspects of U-duality in BLG models with Lorentzian metric 3-algebras
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• Classification of BPS Objects in N = 6 Chern-Simons Matter Theory
• Supersymmetric Wilson Loops in Diverse Dimensions
• Toward a Proof of Montonen-Olive Duality via Multiple M2-branes
• Remark About Scaling Limit of ABJ Theory
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• More on the scalar-tensor B-F theory
• Open M2-branes with Flux and Modified Basu-Harvey Equation
• Membrane scattering from Bagger-Lambert theory
• Deformation of half-BPS solution in ABJM model and instability of supermembrane
• Remarks on Gribov mechanism on N=1 Supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory
• Construction of a Massive ABJM Theory Without Higgs Superfields
• Moduli and BPS configurations of the BLG theory
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory
• 3d CFT and Multi M2-brane Theory on RxS^2
• MOG without anomaly
• On the origin of generalized uncertainty principle from compactified M5-brane
• Higher Order BLG Supersymmetry Transformations from 10-Dimensional Super Yang Mills