箭图规范理论的塞伯格对偶性
Seiberg dualities for quiver gauge theories
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中文总结 AI 辅助
本文研究带特定物质的箭图规范理论的塞伯格对偶性，通过矩阵希尔伯特级数因式分解推导相关性质，应用于两节点箭图得到已知对偶性并讨论有限N一致性条件。
中文摘要 AI 辅助
我们研究带有基本、双基本及二阶张量物质的箭图规范理论的塞伯格对偶性。塞伯格对偶描述的存在对未修饰介子的谱施加了严格约束，该约束自然编码在矩阵希尔伯特级数的因式分解方程中。我们从这类物质内容的一般箭图规范理论的闭式大N超共形指标推导出该因式分解。将该方法应用于两节点箭图，我们得到已知的SU-SU和SO-USp乘积群对偶性，还讨论了来自反常和算符谱匹配的有限N一致性条件。
英文摘要
We study Seiberg duality for quiver gauge theories with fundamental, bifundamental, and rank-two tensor matter. The existence of a Seiberg dual description places strong constraints on the spectrum of undressed mesons, which is naturally encoded in a factorization equation for the matrix Hilbert series. We derive this factorization from a closed-form large-$N$ superconformal index for general quiver gauge theories with these matter contents. We apply the method to two-node quivers and recover known $SU$--$SU$ and $SO$--$USp$ product-group dualities. We also discuss finite-$N$ consistency conditions from anomaly and operator-spectrum matching.
