D-particle Dynamics and Bound States

Details D-particle Dynamics and Bound States D-particle Dynamics and Bound States

1996-03-13

arxiv.org/abs/hep-th/9603081v2

Int.J.Mod.Phys.A11:5463-5478,1996

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex. References and footnote added

Scientific paper

10.1142/S0217751X96002492

We study the low energy effective theory describing the dynamics of D-particles. This corresponds to the quantum mechanical system obtained by dimensional reduction of $9+1$ dimensional supersymmetric Yang-Mills theory to $0+1$ dimensions and can be interpreted as the non relativistic limit of the Born-Infeld action. We study the system of two like-charged D-particles and find evidence for the existence of non-BPS states whose mass grows like $\lambda^{1/3}$ over the BPS mass. We give a string interpretation of this phenomenon in terms of a linear potential generated by strings stretching from the two D-particles. Some comments on the possible relations to black hole entropy and eleven dimensional supergravity are also given.

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