Supergravity, Supermembrane and M(atrix) model on PP-Waves

Abstract

In the first part of this paper, we study the back-reaction of large-N light cone momentum on the maximally supersymmetric anti-pp-wave background. This gives the type IIA geometry of large-N D0-branes on curved space with fluxes. By taking an appropriate decoupling limit, we conjecture a new duality between string theory on that background and dual field theory on D0-branes which we derive by calculating linear coupling terms. Agreement of decoupling quantities, SO(3) \times SO(6) isometry and Higgs branch on both theories are shown. Also we find whenever dual field theory is weakly coupled, the curvature of the geometry is large. In the second part of this paper, we derive the supermembrane action on a general pp-wave background only through the properties of null Killing vector and through this, derive the Matrix model.

19 pages, LaTeX. v2: corrected interpretation of supergravity solution

References in corpus (8)

• Type IIA String and Matrix String on PP-wave
• A class of exact pp-wave string models with interacting light-cone gauge actions
• Supersymmetric objects in the M-theory on a pp-wave
• Supersymmetry and Branes in M-theory Plane-waves
• Ground State of Supermembrane on PP-wave
• Deformed Matrix Theories with N=8 and Fivebranes in the PP Wave Background
• M-theory on Less Supersymmetric PP-Waves
• A Quantum Mechanical Model of Spherical Supermembranes

Cited by in corpus (11)

• Bubbling AdS space and 1/2 BPS geometries
• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• pp Wave Big Bangs: Matrix Strings and Shrinking Fuzzy Spheres
• Matrix Membrane Big Bangs and D-brane Production
• The Supergravity Dual of the BMN Matrix Model
• Matrix Model in a Class of Time Dependent Supersymmetric Backgrounds
• One-Loop Flatness of Membrane Fuzzy Sphere Interaction in Plane-Wave Matrix Model
• Gauge/Gravity Duality for Interactions of Spherical Membranes in 11-dimensional pp-wave
• $\beta$-deformation for matrix model of M-theory
• A Quantum Mechanical Model of Spherical Supermembranes
• Emergence of longitudinal 7-branes and fuzzy S^4 in compactification scenarios of M(atrix) theory