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Point-like graviton scattering in plane-wave matrix model

2005/11/16 by Hyeonjoon Shin, Kentaroh Yoshida
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/04/051

published as JHEP0604:051,2006 · 17 pages, 1 figure, LaTeX, v2) references added

arxiv created 2005/11/16 · openalex publication_date 2006/04/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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/r7-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.

Citations