Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-18
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, 4 figures, LaTeX, invited talk by K.Y at the 4th International Symposium On Quantum Theory And Symmetries (QTS-4), V
Scientific paper
We briefly review our works for graviton and spherical graviton potentials in a plane-wave matrix model. To compute them, it is necessary to devise a configuration of the graviton solutions, since the plane-wave matrix model includes mass terms and hence the gravitons are not free particles as in the BFSS matrix model but harmonic oscillators or rotating particles. The configuration we proposed consists of a rotating graviton and an elliptically rotating graviton. It is applied to the two-body interaction of spherical gravitons in the SO(6) symmetric space, and then to that of point-like gravitons in the SO(3) symmetric space. In both cases the leading term of the resulting potential is 1/r^7. This result strongly suggests that the potentials should be closely related to the light-front eleven-dimensional supergravity linearized around the pp-wave background.
Shin Hyeonjoon
Yoshida Kentaroh
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