M2-Brane SCFT 的渐近退化性

IF 2.2 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2024-07-04 DOI:10.1007/s00220-024-05031-5

Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki

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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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Asymptotic Degeneracies of M2-Brane SCFTs

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Asymptotic Degeneracies of M2-Brane SCFTs

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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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： 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.