Dynamics of Antimembranes in the Maximally Supersymmetric Eleven-Dimensional pp Wave

Abstract

We study a spherical antimembrane in the eleven dimensional pp wave. In this background, a single antimembrane breaks all the supersymmetries because its dipole is misaligned with the background flux. Using the BMN matrix theory we compute the one-loop potential for the antimembrane. Then we put the antimembrane in the field produced by a source spherical membrane and compute the velocity-dependent part of the interaction between them on both the supergravity side and the BMN matrix theory side. Despite the aforementioned nonsupersymmetry of the antimembrane, it is found that the results on the two sides completely agree.

arXiv comment14 pages REVTeX and AMSLaTeX, plus appendices, for a total of 29 pages; v2: reference added; v3: minor changes (footnote and clarification added)

References in corpus (23)

• M Theory As A Matrix Model: A Conjecture
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Matrix Perturbation Theory For M-theory On a PP-Wave
• Higher Order Graviton Scattering in M(atrix) Theory
• Multiple D0-branes in Weakly Curved Backgrounds
• A Two-Loop Test of M(atrix) Theory
• Membrane Dynamics in M(atrix) Theory
• Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds
• Multi-Body Interactions of D-Particles in Supergravity and Matrix Theory
• pp Wave Big Bangs: Matrix Strings and Shrinking Fuzzy Spheres
• A pp-Wave With 26 Supercharges
• On Graviton Scattering Amplitudes in M-Theory
• Supersymmetry and Membrane Interactions in M(atrix) Theory
• Fuzzy Spheres in pp Wave Matrix String Theory
• Equations of Motion and Galilei Invariance in D-Particle Dynamics
• One-Loop Flatness of Membrane Fuzzy Sphere Interaction in Plane-Wave Matrix Model
• 1/2 BPS Geometries of M2 Giant Gravitons
• Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix Model
• Gauge/Gravity Duality for Interactions of Spherical Membranes in 11-dimensional pp-wave
• Large-small dualities between periodic collapsing/expanding branes and brane funnels
• Higher-derivative terms in one-loop effective action for general trajectories of D-particles in Matrix theory
• Complete Solution for M(atrix) Theory at Two Loops
• Testing M(atrix)-Theory at Two Loops

Cited by in corpus (6)

• Noncommutative geometry, Quantum effects and DBI-scaling in the collapse of D0-D2 bound states
• Examples of signature (2,2) manifolds with commuting curvature operators
• Smearing Effect in Plane-Wave Matrix Model
• Computation of Partially Invariant Solutions for the Einstein Walker Manifolds' Identifying Equations
• Emergent geometry through quantum entanglement in Matrix theories
• Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model