No entropy enigmas for N=4 dyons

TL;DR

This paper demonstrates that in N=4 supersymmetric theories, multi-centered black hole configurations with at least one large black hole do not affect the indexed degeneracies because they belong to long supermultiplets, resolving the entropy enigma present in N=2 theories.

Contribution

It shows that such configurations do not contribute to degeneracies in N=4 theories, clarifying the absence of the entropy enigma in these models.

Findings

Multi-centered black hole configurations with large centers are long supermultiplets in N=4.

No contribution of these configurations to the indexed degeneracies.

Absence of entropy enigma in N=4 theories.

Abstract

We explain why multi-centered black hole configurations where at least one of the centers is a large black hole do not contribute to the indexed degeneracies in theories with N=4 supersymmetry. This is a consequence of the fact that such configurations, although supersymmetric, belong to long supermultiplets. As a result, there is no entropy enigma in N=4 theories, unlike in N=2 theories.