D-particle Dynamics and Bound States

TL;DR

This paper investigates the low energy dynamics of D-particles through a supersymmetric quantum mechanical model, revealing non-BPS states with unique mass scaling and discussing implications for string theory and supergravity.

Contribution

It provides new evidence for non-BPS bound states of D-particles and offers a string interpretation of their mass behavior, extending understanding of D-particle interactions.

Findings

Identification of non-BPS states with mass scaling as λ^{1/3}

String interpretation involving a linear potential from stretched strings

Discussion on potential links to black hole entropy and supergravity

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.