Multiple M2-Branes and Plane Waves

Abstract

We propose a natural generalisation of the BLG multiple M2-brane action to membranes in curved plane wave backgrounds, and verify in two different ways that the action correctly captures the non-trivial space-time geometry. We show that the M2 to D2 reduction of the theory along a non-trivial direction in field space is equivalent to the D2-brane world-volume Yang-Mills theory with a non-trivial (null-time dependent) dilaton in the corresponding IIA background geometry. As another consistency check of this proposal we show that the properties of metric 3-algebras ensure the equivalence of the Rosen coordinate version of this action (time-dependent metric on the space of 3-algebra valued scalar fields, no mass terms) and its Brinkmann counterpart (constant couplings but time-dependent mass terms). We also establish an analogous result for deformed Yang-Mills theories in any dimension which, in particular, demonstrates the equivalence of the Rosen and Brinkmann forms of the plane wave matrix string action.

11 pages; v2 & v3: references added + minor cosmetic corrections

References in corpus (29)

• 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
• Comments on the Bagger-Lambert theory and multiple M2-branes
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• Membranes on an Orbifold
• Constraining Maximally Supersymmetric Membrane Actions
• M2 to D2 revisited
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• N = 8 Superconformal Chern--Simons Theories
• Mass-Deformed Bagger-Lambert Theory and its BPS Objects
• One-loop corrections to Bagger-Lambert theory
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• Ghost-Free Superconformal Action for Multiple M2-Branes
• N=8 superconformal gauge theories and M2 branes
• Multiple Membranes from Gauged Supergravity
• 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
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
• 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
• Not One Bit of de Sitter Information
• DLCQ and Plane Wave Matrix Big Bang Models

Cited by in corpus (25)

• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• The all loop AdS4/CFT3 Bethe ansatz
• 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
• Use of stochastic sources for the lattice determination of light quark physics
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
• Topological branes, p-algebras and generalized Nahm equations
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• $w_{\infty }$ 3-algebra
• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• DLCQ and Plane Wave Matrix Big Bang Models
• A note on Quantum Aspects of Multiple Membranes
• 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
• Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
• Triality and Bagger-Lambert Theory
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling
• A note on interpreting N M2 branes
• (p+1)-Algebra for Super p-Brane: the Nambu Bracket Reformulation
• Aspects of Plane Wave (Matrix) String Dynamics
• Tiny Graviton Matrix Theory On Time-Dependent Background