D-particle Dynamics and Bound States

Abstract

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.

16 pages, Latex. References and footnote added

References in corpus (10)

• D-brane Approach to Black Hole Quantum Mechanics
• Entropy and Temperature of Black 3-Branes
• D-branes from M-branes
• D-brane dynamics
• Counting States of Near-Extremal Black Holes
• D-brane actions
• The Size of p-Branes
• String Dynamics at Strong Coupling
• A Note on Marginally Stable Bound States in Type II String Theory
• The IIA super-eightbrane

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