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arXiv · 2307.02901

Asymptotic degeneracies of M2-brane SCFTs

Hirotaka Hayashi·Tomoki Nosaka·Tadashi Okazaki
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Abstract

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.

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Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki. 2023-07-06. Asymptotic degeneracies of M2-brane SCFTs. https://doi.org/10.1007/s00220-024-05031-5

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