Comment on the Bound State Problem in N=4 Super Yang-Mills Theory

TL;DR

This paper re-evaluates the bound state problem in N=4 Super Yang-Mills Theory, focusing on the quantum mechanics of monopoles on a specific moduli space, revealing multiple bound states contrary to previous findings.

Contribution

It provides a new analysis of the bound state spectrum on the Taub-Nut space, challenging earlier results that suggested a unique bound state.

Findings

Multiple threshold bound states found on Taub-Nut space

Contrasts with the single bound state on Atiyah-Hitchin metric

Re-examines the impact of moduli space geometry on bound states

Abstract

We re-examine the threshold bound state problem on the wrong sign Taub-Nut space; the metric on which describes the relative moduli space of well separated BPS monopoles. The quantum mechanics gives rise to a continuous family of threshold bound states, in distinction to the unique one found on the Atiyah-Hitchin metric.