AI 中文总结
该研究开发了大N极限下quiver规范理论生成函数计算的通用框架，将其应用于两类超共形指标计算，在Hall-Littlewood极限下验证指标性质，还为全息对偶超引力指标提供新预测。
AI 中文摘要
我们开发了一个通用框架，用于计算大N极限下 quiver 规范理论的生成函数。将该方法应用于4维 $\text{N}=2$ 规范理论的超共形指标，以及5维 $\text{N}=1$ 理论的0瞬子指标，适用于任意形状的有限 quiver 和长 quiver 极限，包含特殊酉群和正交辛规范群，验证了其通用性。在Hall-Littlewood极限下，证明所得指标的级数展开能捕获预期的希格斯分支手征环生成元。长 quiver 极限下的精确表达式，为全息对偶的扭曲AdS$_5$和AdS$_6$背景的超引力指标提供了新预测。
英文摘要
We develop a universal framework for computing generating functions in quiver gauge theories in the large $N$ limit. We apply this method to the superconformal index of 4d $\mathcal{N}=2$ gauge theories, as well as to the 0-instanton index of 5d $\mathcal{N}=1$ theories, both for finite quivers of arbitrary shape and in the long quiver limit, including both special unitary and orthosymplectic gauge groups, demonstrating its versatility. In the Hall--Littlewood limit, we show that the series expansion of the resulting index captures the expected Higgs branch chiral ring generators. Our exact expressions in the long quiver limit provide new predictions for the supergravity index of the holographically dual warped AdS$_5$ and AdS$_6$ backgrounds.
Comments21 pages + appendices
