Asymptotic degeneracies of M2-brane SCFTs
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909241821888512 |
|---|---|
| author | Hayashi, Hirotaka Nosaka, Tomoki Okazaki, Tadashi |
| author_facet | Hayashi, Hirotaka Nosaka, Tomoki Okazaki, Tadashi |
| contents | We study the asymptotic growth of the degeneracy of the BPS local operators with scaling dimension $n/2$ in the three-dimensional superconformal field theories describing $N$ M2-branes. From the large $N$ supersymmetric indices we obtain the asymptotic formulas for degeneracies of the M2-brane SCFTs according to the Meinardus theorem. We observe an intriguing universal $n^{2/3}$ growth of the degeneracies in various theories of M2-brane SCFTs. We also determine the coefficients of $n^{2/3}$ growth as well as further corrections in these theories explicitly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_02901 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Asymptotic degeneracies of M2-brane SCFTs Hayashi, Hirotaka Nosaka, Tomoki Okazaki, Tadashi High Energy Physics - Theory We study the asymptotic growth of the degeneracy of the BPS local operators with scaling dimension $n/2$ in the three-dimensional superconformal field theories describing $N$ M2-branes. From the large $N$ supersymmetric indices we obtain the asymptotic formulas for degeneracies of the M2-brane SCFTs according to the Meinardus theorem. We observe an intriguing universal $n^{2/3}$ growth of the degeneracies in various theories of M2-brane SCFTs. We also determine the coefficients of $n^{2/3}$ growth as well as further corrections in these theories explicitly. |
| title | Asymptotic degeneracies of M2-brane SCFTs |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2307.02901 |