论文标题

部分可观测时空混沌系统的无模型预测

Analytic continuation for giant gravitons

论文作者

Imamura, Yosuke

论文摘要

我们研究了巨型重力对超符号指数的贡献。我们专注于包裹在一个循环周围的一致的巨型引力,每种贡献都是通过从巨型引力的Worldvolume理论索引的一定变化来获得的。因为我们将指数视为一系列的逃生性,并且可变变化与不同的融合区域有关,因此我们需要进行分析延续,然后再概括此类贡献。我们建议进行延续的系统处方。尽管我们的论点基于一些未经证实的假设,但它通过非平凡的数值检查以获取一些示例。通过处方,我们可以从M2-Brane理论的M5-Brane理论计算M5-Brane理论的指标,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 unproved 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.

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