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arXiv 1901.02591hep-th
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从AdS/CFT得到的非微扰弦论

Non-Perturbative String Theory from AdS/CFT

Robert de Mello Koch, Eunice Gandote, Jia-Hui Huang

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33pages,no figures
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摘要：

研究了巨引力子的大$N$展开。巨引力子是用裸维为$N$阶的算符来描述的。在这种情况下，通常的$1/N$展开是不适用的，并且存在对相关器的贡献，其在特性上是非微扰的。通过用超几何函数${}_2F_1(a,b;c;1)$表示相关器的平方，我们可以将相关器的$1/N$展开式改写为薛定谔方程的半经典展开式。这样我们就可以证明相关器的$1/N$展开式是Borel可和的，并且当巨引力子的角动量变化时，它表现出参量斯托克斯现象。

英文摘要：

The large $N$ expansion of giant graviton correlators is considered. Giant gravitons are described using operators with a bare dimension of order $N$. In this case the usual $1/N$ expansion is not applicable and there are contributions to the correlator that are non-perturbative in character. By writing the (square of the) correlators in terms of the hypergeometric function ${}_2F_1(a,b;c;1)$, we are able to rephrase the $1/N$ expansion of the correlator as a semi-classical expansion for a Schrödinger equation. In this way we are able to argue that the $1/N$ expansion of the correlator is Borel summable and that it exhibits a parametric Stokes phenomenon as the angular momentum of the giant graviton is varied.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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