Quantum 1/4 BPS dyons - art. no. 045003

Classical properties of 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) dyons were previously well understood both in the field theory context and in the str ing theory context. Its quantum properties, however, have been more difficu lt to probe, although the elementary information of the supermultiplet stru ctures is known from a perturbative construction. Recently, a low energy ef fective theory of monopoles was constructed and argued to contain these dyo ns as quantum bound states. In this paper, we find these dyonic bound state s explicitly in the N = 4 supersymmetric low energy effective theory. After identifying the correct angular momentum operators, we motivate an anti-se lf-dual ansatz for all BPS bound states. The wave functions are found expli citly, whose spin contents and degeneracies match exactly the expected resu lts.