Nonspherical Giant Gravitons and Matrix Theory

Abstract

We consider the plane wave limit of the nonspherical giant gravitons. We compute the Poisson brackets of the coordinate functions and find a nonlinear algebra. We show that this algebra solves the supersymmetry conditions of the matrix model. This is the generalization of the algebraic realization of the spherical membrane as the ``fuzzy sphere''. We describe finite dimensional representations of the algebra corresponding to the fuzzy torus.

10 pages, LaTeX; references and explanations added; minor corrections

References in corpus (7)

• M Theory As A Matrix Model: A Conjecture
• Dielectric-Branes
• Another Conjecture about M(atrix) Theory
• A Microscopical Description of Giant Gravitons
• Branes from Matrix Theory in PP-Wave Background
• BPS Conditions of Supermembrane on the PP-wave
• Holomorphic curves from matrices

Cited by in corpus (14)

• Supersymmetric objects in the M-theory on a pp-wave
• Fuzzy Ring from M2-brane Giant Torus
• Ground State of Supermembrane on PP-wave
• All Higher Genus BPS Membranes in the Plane Wave Background
• One-Loop Flatness of Membrane Fuzzy Sphere Interaction in Plane-Wave Matrix Model
• Giant Gravitons in AdS_3 x S^3 x T^4 as Fuzzy Cylinders
• 5D action for longitudinal five branes on a pp-wave
• 3D N=2 massive super Yang-Mills and membranes/D2-branes in a curved background
• Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix Model
• M2-brane Dynamics in the Classical Limit of the BMN Matrix Model
• Smearing Effect in Plane-Wave Matrix Model
• Meromorphic Functions and the Topology of Giant Gravitons
• Quasi-Static BMN Solutions
• Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model