Point-Like Graviton Scattering in Plane-Wave Matrix Model

Abstract

In a plane-wave matrix model we discuss a two-body scattering of gravitons in the SO(3) symmetric space. In this case the graviton solutions are point-like in contrast to the scattering in the SO(6) symmetric space where spherical membranes are interpreted as gravitons. We concentrate on a configuration in the 1-2 plane where a graviton rotates with a constant radius and the other one elliptically rotates. Then the one-loop effective action is computed by using the background field method. As the result, we obtain the 1/r^7-type interaction potential, which strongly suggests that the scattering in the matrix model would be closely related to that in the light-front eleven-dimensional supergravity.

17 pages, 1 figure, LaTeX, v2) references added

References in corpus (5)

• Free Energy and Phase Transition of the Matrix Model on a Plane-Wave
• All Higher Genus BPS Membranes in the Plane Wave Background
• Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix Model
• Gauge/Gravity Duality for Interactions of Spherical Membranes in 11-dimensional pp-wave
• Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model

Cited by in corpus (5)

• N=4 SYM on R x S^3 and Theories with 16 Supercharges
• Dynamical aspects of the plane-wave matrix model at finite temperature
• Dynamical tachyons on fuzzy spheres
• Smearing Effect in Plane-Wave Matrix Model
• Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model