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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2511.23294 |
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| _version_ | 1866911292369928192 |
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| author | Chang, Chi-Ming Zhang, Haoyu |
| author_facet | Chang, Chi-Ming Zhang, Haoyu |
| contents | We investigate finite-$N$ BPS cohomology in the D1--D5 CFT, focusing on the sector of fortuitous classes. Analyzing the supercharge cochain complexes in the $N=2$ and $N=3$ theories, we construct several explicit fortuitous classes. We study the decomposition of these cohomology classes into ${\rm SU}(2)_a\times {\rm SU}(2)_b$ representations and conjecture that, at fixed holomorphic weight, those transforming in the largest representation are necessarily fortuitous. Our results also provide strong evidence that the $R$-charge concentration phenomenon extends to the D1--D5 CFT. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_23294 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fortuity and R-charge concentration in the D1-D5 CFT Chang, Chi-Ming Zhang, Haoyu High Energy Physics - Theory We investigate finite-$N$ BPS cohomology in the D1--D5 CFT, focusing on the sector of fortuitous classes. Analyzing the supercharge cochain complexes in the $N=2$ and $N=3$ theories, we construct several explicit fortuitous classes. We study the decomposition of these cohomology classes into ${\rm SU}(2)_a\times {\rm SU}(2)_b$ representations and conjecture that, at fixed holomorphic weight, those transforming in the largest representation are necessarily fortuitous. Our results also provide strong evidence that the $R$-charge concentration phenomenon extends to the D1--D5 CFT. |
| title | Fortuity and R-charge concentration in the D1-D5 CFT |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.23294 |