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Peer-reviewedCC BY 4.0SciPost Physics

Fortuity in the D1-D5 system

  • Chi-Ming Chang1,2,3
  • Ying‐Hsuan Lin4
  • Haoyu Zhang5,6
6 affiliations
  1. 1Beijing Institute of Mathematical Sciences and Applications
  2. 2Tsinghua University
  3. 3Yau Mathematical Sciences Center
  4. 4Harvard University
  5. 5Texas A&M University
  6. 6University of Southern California
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Abstract

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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Cite

BibTeXRIS
BibTeX
@article{chang2026fortuity,
  title = {{Fortuity in the D1-D5 system}},
  author = {Chi-Ming Chang and Ying‐Hsuan Lin and Haoyu Zhang},
  journal = {SciPost Physics},
  year = {2026},
  month = oct,
  doi = {10.21468/scipostphys.21.4.096},
  url = {https://scipost.org/10.21468/SciPostPhys.21.4.096},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Fortuity in the D1-D5 system
AU  - Chi-Ming Chang
AU  - Ying‐Hsuan Lin
AU  - Haoyu Zhang
PY  - 2026
DA  - 2026/10/19
JO  - SciPost Physics
DO  - 10.21468/scipostphys.21.4.096
UR  - https://scipost.org/10.21468/SciPostPhys.21.4.096
AB  - 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.
SN  - 2542-4653
ER  -