标题： 大型$N$与$\mathcal N=4$SYM的半经典D3膜的Schur指标 显示英文标题

标题： Large $N$ Schur index of $\mathcal N=4$ SYM from semiclassical D3 brane

摘要： 我们考虑4d $\mathcal N=4$$U(N)$ SYM的精细Schur超共形指标以及其大质量引力子展开的第一个项，该项最初在arXiv:2001.11667中通过间接超共形代数考虑和fugacities的解析延拓预测得出。 此修正项是在大 $N$ 时指标的主要非微扰修正，我们从量子D3膜在扭曲修改的 $AdS_{5}\times S^{5}$ 弦背景中环绕 $S^{1}\times S^{3}$ 的半经典分部函数中重现了它，该分部函数依赖于指标R对称性fugacity。 我们的计算并未直接利用超对称性。 它基于确定环绕膜上各种玻色子和费米子涨落的分部函数，其作用在热循环上具有特定常数全息。 我们展示了如何通过将Cardy的算子计数方法适应到扭曲背景中来获得这些分部函数。 显示英文摘要

摘要： We consider the refined Schur superconformal index of 4d $\mathcal N=4$ $U(N)$ SYM and the first term of its giant-graviton expansion, first predicted in arXiv:2001.11667 using indirect superconformal algebra considerations and analytic continuation of fugacities. This correction is the leading non-perturbative correction to the index at large $N$ and we reproduce it from the semiclassical partition function of quantum D3 brane wrapped on $S^{1}\times S^{3}$ in a twisted modification of the $AdS_{5}\times S^{5}$ string background, depending on the index R-symmetry fugacity. Our calculation does not exploit directly supersymmetry. It is based on the determination of the partition function of the various bosonic and fermionic fluctuations on the wrapped brane whose action is conformal with specific constant holonomies along thermal cycle. We show how those partition functions may be obtained by adapting the operator counting method of Cardy to the twisted background.