Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories

Abstract

We consider how to take an orbifold reduction for the multiple M2-brane theory recently proposed by Bagger and Lambert, and discuss its relation to Chern-Simons theories. Starting from the infinite dimensional 3-algebra realized as the Nambu bracket on a 3-torus, we first suggest an orbifolding prescription for various fields. Then we introduce a second truncation, which effectively reduces the internal space to a 2-torus. Eventually one obtains a large-N limit of Chern-Simons gauge theories coupled to matter fields. We consider an abelian orbifold C^4/Z_n, and illustrate how one can arrive at the N=6 supersymmetric theories with gauge groups U(N) x U(N) and Chern-Simons levels (k,-k), as recently constructed by Aharony, Bergman, Jafferis and Maldacena.

20 pages; v3. major revision, title and abstract changed. to appear in Phys.Rev.D

References in corpus (59)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
• N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds
• Notes on Superconformal Chern-Simons-Matter Theories
• 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
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• M2 to D2
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Membranes on an Orbifold
• Selfdual strings and loop space Nahm equations
• Constraining Maximally Supersymmetric Membrane Actions
• M2 to D2 revisited
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• M2-branes, 3-Lie Algebras and Plucker relations
• On M5-branes in N=6 Membrane Action
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• M2-branes on M-folds
• N = 8 Superconformal Chern--Simons Theories
• The AdS4/CFT3 algebraic curve
• Classification of N=6 superconformal theories of ABJM type
• Multiple M2-branes and Generalized 3-Lie algebras
• Mass-Deformed Bagger-Lambert Theory and its BPS Objects
• One-loop corrections to Bagger-Lambert theory
• Bagger-Lambert Theory for General Lie Algebras
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• An N=1 Superfield Action for M2 branes
• Multiple M2-branes and the Embedding Tensor
• N=8 superconformal gauge theories and M2 branes
• Multiple Membranes from Gauged Supergravity
• Aspects of Multiple Membranes
• A New N=4 Membrane Action via Orbifold
• Janus field theories from multiple M2 branes
• Taking off the square root of Nambu-Goto action and obtaining Filippov-Lie algebra gauge theory action
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
• Classification of the BPS states in Bagger-Lambert Theory
• Coulomb Branch of the Lorentzian Three Algebra Theory
• Kac-Moody Extensions of 3-Algebras and M2-branes
• Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• M-Theory Superalgebra From Multiple Membranes
• Lorentzian Lie n-algebras
• $w_{\infty }$ 3-algebra
• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• On relating multiple M2 and D2-branes
• From Simplified BLG Action to the First-Quantized M-Theory
• Multiple M2-Branes and Plane Waves
• A note on Quantum Aspects of Multiple Membranes
• On Nambu-Lie 3-algebra representations
• Virasoro 3-algebra from scalar densities
• A note on interpreting N M2 branes

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• Quiver Chern-Simons theories and crystals
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• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• An associative star-three-product and applications to M two/M five-brane theory
• M2-branes on a resolved $C_4/Z_4$
• Triality and Bagger-Lambert Theory
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Five-dimensional super Yang-Mills theory from ABJM theory