Analytic continuation for giant gravitons
Analytic continuation for giant gravitons
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巨引力子的解析延拓
DOI：
10.1093/ptep/ptac127
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发表时间：
2022
影响因子：
3.5
通讯作者：
Imamura Yosuke
中科院分区：
文献类型：
--
作者：
Kawasaki Masahiro;Murai Kai;Nakatsuka Hiromasa;Imamura Yosuke
我们研究巨引力子对超共形指数的贡献。我们专注于围绕单个周期的重合巨引力子，并且每个贡献都是通过巨引力子世界体积理论索引中的逸度的某个变量变化而获得的。因为我们将指数视为一系列逸度，并且变量变化与不同的收敛区域相关，所以在总结这些贡献之前我们需要进行分析延拓。我们提出了一个系统的延续方案。尽管我们的论点基于一些未经证实的假设，但它通过了一些示例的重要数值检查。通过该处方，我们可以根据M2膜理论的指数计算出M5膜理论的指数，反之亦然。
We investigate contributions of giant gravitons to the superconformal index. We concentrate on coincident giant gravitons wrapped around a single cycle, and each contribution is obtained by a certain variable change for fugacities from the index of the worldvolume theory on the giant gravitons. Because we treat the index as a series of fugacities and the variable change relates different convergence regions, we need an analytic continuation before summing up such contributions. We propose a systematic prescription for the continuation. Although our argument is based on some unproven assumptions, it passes non-trivial numerical checks for some examples. With the prescription we can calculate the indices of the M5-brane theories from those of the M2-brane theories, and vice versa.