Non-planar corrections in the symmetric orbifold
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915989671641088 |
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| author | Gaberdiel, Matthias R. Nairz, Beat Peng, Cheng |
| author_facet | Gaberdiel, Matthias R. Nairz, Beat Peng, Cheng |
| contents | We calculate the non-planar corrections to the anomalous dimensions of certain quarter BPS states in the symmetric product orbifold $\text{Sym}^N \big({\mathbb{T}^4}\big)$. We find that some of the degeneracies in the spectrum for large twist $w$ and large $N$ are lifted by these contributions. We furthermore find signatures of quantum chaos, namely level repulsion and random matrix statistics. This suggests that integrability is only present in the symmetric orbifold in the planar (i.e. large $N$) limit. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_06465 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-planar corrections in the symmetric orbifold Gaberdiel, Matthias R. Nairz, Beat Peng, Cheng High Energy Physics - Theory We calculate the non-planar corrections to the anomalous dimensions of certain quarter BPS states in the symmetric product orbifold $\text{Sym}^N \big({\mathbb{T}^4}\big)$. We find that some of the degeneracies in the spectrum for large twist $w$ and large $N$ are lifted by these contributions. We furthermore find signatures of quantum chaos, namely level repulsion and random matrix statistics. This suggests that integrability is only present in the symmetric orbifold in the planar (i.e. large $N$) limit. |
| title | Non-planar corrections in the symmetric orbifold |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.06465 |