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引用次数: 0
摘要
我们研究在描述 N 个 M2 膜的三维超共形场论中，缩放维数为 n/2 的 BPS 局域算子退化性的渐近增长。根据梅纳德斯（Meinardus）定理，我们从大 N 超对称指数中得到了 M2 膜 SCFT 退化性的渐近公式。我们观察到在各种M2-膜SCFT理论中，退行性的增长具有耐人寻味的普遍性（n^{2/3}\）。我们还明确地确定了这些理论中的\(n^{2/3}\)增长系数以及进一步的修正。
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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The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.
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