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Microscopic Organization of BPS Black-Hole States in the D1--D5--P CFT
We study BPS states in the D1--D5 CFT through their fortuity, cycle structure, and probe response. Explicit fortuitous states with both long- and short-string geometries show that the cycle partition does not determine fortuity state by state. At large $N$, fixed-charge counting nevertheless selects
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