Coulomb Branch of the Lorentzian Three Algebra Theory
arXiv:0806.1990
Abstract
We analyze the coulomb branch of the non-unitary Lorentzian three algebra theory that has been proposed as a possible candidate for describing the world volume theory of multiple M2-branes. In order that it describes the theory of multiple M2-branes in flat eleven dimensional space-time, the ghost fields must decouple and the physical theory must be independent of the eight coordinates of the moduli space representing the center of mass coordinates of the branes. We show that the structure of the Coulomb branch is consistent with this requirement. While the full moduli space has the structure of a Lorentzian space modded out by a Lorentz transformation, the physical subspace has the correct structure of the moduli space of multiple M2-branes. We also suggest a systematic procedure for testing the consistency of the theory by computing the higher derivative corrections to the effective action obtained by integrating out the massive modes propagating in the loop.
arXiv commentLaTeX file, 11 pages; v2: discussion modified, results unchanged
References in corpus (25)
- M Theory As A Matrix Model: A Conjecture
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Modeling Multiple M2's
- Comments on Multiple M2-branes
- Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
- Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
- Comments on the Bagger-Lambert theory and multiple M2-branes
- The M2-M5 Brane System and a Generalized Nahm's Equation
- Membranes on an Orbifold
- Constraining Maximally Supersymmetric Membrane Actions
- M2 to D2 revisited
- Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
- Mass-Deformed Bagger-Lambert Theory and its BPS Objects
- One-loop corrections to Bagger-Lambert theory
- Multiple M2-branes and the Embedding Tensor
- A New N=4 Membrane Action via Orbifold
- Aspects of Multiple Membranes
- Janus field theories from multiple M2 branes
- Taking off the square root of Nambu-Goto action and obtaining Filippov-Lie algebra gauge theory action
- Classification of the BPS states in Bagger-Lambert Theory
- Kac-Moody Extensions of 3-Algebras and M2-branes
- On the structure of k-Lie algebras
- Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory
- From Simplified BLG Action to the First-Quantized M-Theory
Cited by in corpus (41)
- Three-Algebras and N=6 Chern-Simons Gauge Theories
- The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
- On Type IIA Penrose Limit and N=6 Chern-Simons Theories
- N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
- On M5-branes in N=6 Membrane Action
- The AdS4/CFT3 algebraic curve
- The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
- Multiple Membranes from Gauged Supergravity
- 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
- Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory
- Topological branes, p-algebras and generalized Nahm equations
- Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
- 3-algebra
- Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
- Non-linear theory for multiple M2 branes
- Multiple M2-Branes and Plane Waves
- A note on Quantum Aspects of Multiple Membranes
- Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory
- Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
- Topological Twisting of Multiple M2-brane Theory
- Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
- M-brane bound states and the supersymmetry of BPS solutions in the Bagger-Lambert theory
- D2 to M2 Procedure for D2-Brane DBI Effective Action
- N=6 Membrane Worldvolume Superalgebra
- M2-branes on a resolved
- On non-linear action of multiple M2-branes
- On Nambu-Lie 3-algebra representations
- Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
- Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
- A New Three-Algebra Representation for the {\cal N}=6 su(N)Xsu(N) Superconformal Chern-Simons Theory
- Abelian Vortex in Bagger-Lambert-Gustavsson Theory
- Aspects of U-duality in BLG models with Lorentzian metric 3-algebras
- On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling
- Remark About Scaling Limit of ABJ Theory
- A note on interpreting N M2 branes
- Nambu-Poisson Bracket and M-Theory Branes Coupled to Antisymmetric Fluxes
- (p+1)-Algebra for Super p-Brane: the Nambu Bracket Reformulation
- A proposal for M2-brane-anti-M2-brane action
- Reduction of the N=8 BLG and N=6 BL Theories to 2D Effective Field Theories