D2 or M2? A Note on Membrane Scattering

Abstract

Motivated by a physical interpretation of its correlation functions as membrane scattering amplitudes, we re-address whether the Lorentzian BLG theory can be quantized such that it preserves SO(8) superconformal symmetry. We find that this appears to be possible. While the model seems to adequately reproduce protected quantities such as chiral primary amplitudes and the four derivative effective action, we conclude that, as understood at present, it gives a relatively unpractical parametrization of the IR dynamics of M2-branes.

11 pages,1 figure

References in corpus (9)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• M2 to D2 revisited
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• Janus field theories from multiple M2 branes
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
• Effective Action for Membrane Dynamics in DLCQ $M$ theory on a Two-torus

Cited by in corpus (24)

• Three-dimensional N=6 SCFT's and their membrane dynamics
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• 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
• Non-linear theory for multiple M2 branes
• 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
• On non-linear action of multiple M2-branes
• M2-branes on a resolved $C_4/Z_4$
• A New Three-Algebra Representation for the {\cal N}=6 su(N)Xsu(N) Superconformal Chern-Simons Theory
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Abelian Vortex in Bagger-Lambert-Gustavsson Theory
• Aspects of U-duality in BLG models with Lorentzian metric 3-algebras
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Remark About Scaling Limit of ABJ Theory
• A proposal for M2-brane-anti-M2-brane action
• Membrane scattering from Bagger-Lambert theory
• Eight Fermion Terms in the Effective Action of the ABJM Model
• Mass Deformed L-BLG Theory From ABJ Theory
• Metric 3-Leibniz algebras and M2-branes