AI 中文总结
该研究揭示超对称指标在|q|<1处的内部零点特性，其可通过q级数展开检测，会阻碍红外描述，结合巨引力子展开可定位，在4维N=1 SU(2) SQCD和N=4 U(N)舒尔指标中得到验证。
AI 中文摘要
当且仅当超对称ζ函数的算术系数δ(ν)以最近零点设定的速率指数增长时，超对称指标在|q|<1处存在内部零点。每个δ(ν)由有限个q级数系数得到，因此仅通过展开式即可检测内部零点，且会阻碍自由或s约束的红外描述，我们在4维N=1 SU(2)超对称量子色动力学（SQCD）中验证了这一点。结合巨引力子展开，内部零点是有限N效应，可通过单个巨引力子的能量定位，且在N=4 U(N)舒尔指标中得到验证。
英文摘要
A supersymmetric index has interior zeros ($|q|<1$) if and only if the arithmetic coefficients $δ(ν)$ underlying the supersymmetric zeta function grow exponentially at a rate set by the nearest zero. Each $δ(ν)$ follows from finitely many $q$-series coefficients, so interior zeros are detectable from the expansion alone and obstruct a free or s-confining infrared description, as we show for 4d $\mathcal{N}=1$ $SU(2)$ SQCD. With a giant graviton expansion interior zeros are a finite $N$ effect, located by the energy of one giant graviton, verified for the $\mathcal{N}=4$ $U(N)$ Schur index.
Comments8 pages, 2 figures
