Quantum 1/4 BPS Dyons

TL;DR

This paper explicitly constructs quantum bound states of 1/4 BPS dyons in N=4 supersymmetric theories, matching their expected spin and degeneracy, thus advancing understanding of their quantum properties.

Contribution

It provides explicit wavefunctions for 1/4 BPS dyonic bound states in N=4 supersymmetric low energy effective theory, confirming their quantum structure.

Findings

Wavefunctions explicitly constructed

Spin contents and degeneracies match theoretical expectations

Anti-self-dual ansatz justified for BPS bound states

Abstract

Classical properties of 1/4 BPS dyons were previously well understood both in field theory context and in 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 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 wavefunctions are found explicitly, whose spin contents and degeneracies match exactly the expected results.