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Microscopic Organization of BPS Black-Hole States in the D1--D5--P CFT

  • Ji-Seong Chae
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Abstract

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 a long string. In the open uncondensed region, an entropy-carrying exact non-graviton subspace concentrates on one cycle of winding N−O(1). Assuming subexponential monotone dimension, the same holds for the harmonic fortuitous complement. Beyond the critical line, the free ensemble develops a short-string condensate. To test how this cycle structure appears in observables, we study finite-winding probes. The long-cycle scalar correlator approaches the extremal-BTZ response at fixed time, while finite winding is resolved at t=O(√N), the exact circle recurs at t=O(N), and states with the same cycle geometry remain distinguishable by their spectral weights.

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Cite

BibTeXRIS
BibTeX
@misc{chae2026microscopic,
  title = {{Microscopic Organization of BPS Black-Hole States in the D1--D5--P CFT}},
  author = {Ji-Seong Chae},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.35688},
  eprint = {2609.35688},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.35688},
}
RIS
TY  - UNPB
TI  - Microscopic Organization of BPS Black-Hole States in the D1--D5--P CFT
AU  - Ji-Seong Chae
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.35688
UR  - https://arxiv.org/abs/2609.35688
AB  - 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 a long string. In the open uncondensed region, an entropy-carrying exact non-graviton subspace concentrates on one cycle of winding N−O(1). Assuming subexponential monotone dimension, the same holds for the harmonic fortuitous complement. Beyond the critical line, the free ensemble develops a short-string condensate. To test how this cycle structure appears in observables, we study finite-winding probes. The long-cycle scalar correlator approaches the extremal-BTZ response at fixed time, while finite winding is resolved at t=O(√N), the exact circle recurs at t=O(N), and states with the same cycle geometry remain distinguishable by their spectral weights.
ER  -