Classical properties of 1/4 Bogomol’nyi-Prasad-Sommerfield (BPS) dyons were previously well understood both in the field theory context and in the string theory context. Its quantum properties, however, have been more difficult to probe, although the elementary information of the supermultiplet structures is known from a perturbative construction. Recently, a low energy effective theory of monopoles was constructed and argued to contain these dyons as quantum bound states. In this paper, we find these dyonic bound states explicitly in the $N=4\mathrm{}$ supersymmetric low energy effective theory. After identifying the correct angular momentum operators, we motivate an anti-self-dual ansatz for all BPS bound states. The wave functions are found explicitly, whose spin contents and degeneracies match exactly the expected results.

• Received 15 July 1999

DOI:https://doi.org/10.1103/PhysRevD.61.045003