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arXiv · hep-th/0511072

Point-Like Graviton Scattering in Plane-Wave Matrix Model

Hyeonjoon Shin·Kentaroh Yoshida
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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.

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Hyeonjoon Shin, Kentaroh Yoshida. 2005-11-16. Point-Like Graviton Scattering in Plane-Wave Matrix Model. https://doi.org/10.1088/1126-6708%2F2006%2F04%2F051

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