发表机构
Università di Milano-Bicocca; INFN, sezione di Milano-Bicocca; Queen Mary University of London; University of Edinburgh（米兰比可卡大学; 意大利国家核物理研究所米兰比可卡分所; 伦敦玛丽女王大学; 爱丁堡大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文揭示ABJM理论中BPS黑洞熵随k增大而增长，与算符数目变化相反的谜题，并提出迹关系增加作为解释，主要影响偶然算符。
AI 中文摘要
我们指出AdS$_4\times S^7/\mathbb{Z}_k$中BPS黑洞的一个谜题：当$k$增大时熵增长，尽管由于磁单极算符的存在，对偶共形场论中能贡献熵的规范不变算符数目随$k$减小而增加。通过分析ABJM的超共形指标，我们证明在有限$N$的大电荷极限下存在同样的谜题。我们提出一种基于$k$减小时迹关系数目增加的解决方案，该效应主导了另一效应。我们认为这主要影响偶然算符，并提供一个在较小$k$时消失的偶然算符的明确例子。
英文摘要
We point out a puzzle about BPS black holes in AdS$_4\times S^7/\mathbb{Z}_k$: the entropy grows when $k$ increases although the number of gauge-invariant operators in the dual conformal field theory that can contribute to the entropy grows as $k$ decreases, due to the presence of monopole operators. Analyzing the superconformal index of ABJM, we show that the same puzzle exists for finite $N$ in the large charge limit. We propose a resolution based on an increasing number of trace relations as $k$ decreases, which dominates over the other effect. We argue that this mostly affects fortuitous operators and we provide an explicit example of a fortuitous operator that disappears at small $k$.
Comments7 pages, 2 figures
