Multi-Body Interactions of D-Particles in Supergravity and Matrix Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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38 pages, no figures, a few minor typos are corrected

Scientific paper

10.1016/S0550-3213(98)00700-7

We present detailed analyses of the 3-body interactions of D-particles from both sides of 11 dimensional supergravity and Matrix theory. In supergravity, we derive a complete expression for the classical bosonic effective action for D-particles including 2-and 3-body interaction terms. In Matrix theory, we compute 1-particle irreducible contributions to the eikonal phase shift in the two-loop approximation. The results precisely agree with the predictions from supergravity and thus provide a strong support to the discrete light-cone interpretation of the Matrix-theory conjecture as a possible nonperturbative definition of M-theory.

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