Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2605.18725 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913142177529856 |
|---|---|
| author | Zhang, Haoyu |
| author_facet | Zhang, Haoyu |
| contents | We investigate the emergence of random-matrix statistics in the D1D5 CFT by studying second-order lifting matrices in low-energy near-BPS sectors. We compare the $N=3$ finite-$N$ lifting problems with the planar large-$N$ limit at fixed orbifold conformal weight and R charges. In the planar large-$N$ limit at fixed orbifold energy, mixing between single-cycle and multi-cycle states is suppressed, and the symmetry-resolved lifting spectra display Poisson-like level statistics. At finite $N$, non-planar terms restore this mixing between different cycle structures. Within the resulting symmetry-resolved sectors, this finite-$N$ mixing is accompanied by level repulsion consistent with random-matrix behavior. These results suggest that, in the low-energy near-BPS sectors accessible to our analysis, non-planar cycle-structure mixing at finite $N$ is associated with the onset of level repulsion and random-matrix-like spacing statistics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_18725 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Signatures of Quantum Chaos in the D1D5 System Zhang, Haoyu High Energy Physics - Theory We investigate the emergence of random-matrix statistics in the D1D5 CFT by studying second-order lifting matrices in low-energy near-BPS sectors. We compare the $N=3$ finite-$N$ lifting problems with the planar large-$N$ limit at fixed orbifold conformal weight and R charges. In the planar large-$N$ limit at fixed orbifold energy, mixing between single-cycle and multi-cycle states is suppressed, and the symmetry-resolved lifting spectra display Poisson-like level statistics. At finite $N$, non-planar terms restore this mixing between different cycle structures. Within the resulting symmetry-resolved sectors, this finite-$N$ mixing is accompanied by level repulsion consistent with random-matrix behavior. These results suggest that, in the low-energy near-BPS sectors accessible to our analysis, non-planar cycle-structure mixing at finite $N$ is associated with the onset of level repulsion and random-matrix-like spacing statistics. |
| title | Signatures of Quantum Chaos in the D1D5 System |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.18725 |