DOI: 10.21468/scipostphys.21.4.096 ISSN: 2542-4653

Fortuity in the D1-D5 system

Chi-Ming Chang, Ying-Hsuan Lin, Haoyu Zhang
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We reformulate the lifting problem in the D1-D5 CFT as a supercharge cohomology problem, and enumerate BPS states according to the fortuitous/monotone classification. Working in the deformed

T^4 T 4
symmetric orbifold theory, we give precise definitions of monotone and fortuitous cohomology classes generalizing the definitions in [C.-M. Chang and Y.-H. Lin, arXiv: 2402.10129] and illustrate them in the
N=1 N = 1
theory. For
N=2 N = 2
, we construct the cohomology explicitly and match it to the exact BPS partition function. We further describe how to assemble BPS states at smaller
N N
into BPS states at larger
N N
, and interpret their holographic duals as black hole bound states and massive stringy excitations on smooth horizonless (e.g. Lunin-Mathur) geometries.

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