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 \( \mathcal{N} = 4 \) 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 \( \mathcal{N} = 4 \) theories, unlike in \( \mathcal{N} = 2 \) theories.
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ArXiv ePrint: 0903.2481
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Dabholkar, A., Guica, M., Murthy, S. et al. No entropy enigmas for \( \mathcal{N} = 4 \) dyons. J. High Energ. Phys. 2010, 7 (2010). https://doi.org/10.1007/JHEP06(2010)007
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DOI: https://doi.org/10.1007/JHEP06(2010)007