AI 中文总结
研究 4d 超共形规范理论共形流形中整体弱耦合无穷远极限下普适类，通过哈纳尼 - 维滕构造揭示其与 NS5 - 膜数量及涌现弦的关系，还能应用于更一般理论及研究插值模型，解释普适类起源并刻画相关弦。
AI 中文摘要
我们研究了大 N 时 4d \({\cal N}=4,2,1\) 超共形规范理论共形流形中整体弱耦合无穷远极限下普适类的出现，以及它们与 AdS 体对偶中弱耦合涌现弦类型的关系。我们聚焦于具有简单规范群的完整理论集，为每个理论提供明确的哈纳尼 - 维滕构造。这表明 arXiv:2410.07309 中发现的三个普适类由在获得超共形场论所需的合适双标度极限中重合的 NS5 - 膜数量决定。同一普适类中的所有理论通过执行轨形/定向轨形投影（可能有少量额外味）从同一母理论导出。我们认为同一普适类中的理论共享由双标度 NS5 - 膜系统产生的相同闭弦背景，其中 D - 膜的反作用有望全息地产生与超共形场论对偶的 AdS 喉。我们描述了相应的世界面理论，发现三种涌现的无张力弦分别对应 10d IIB 型弦、先前在相关背景中研究的次临界弦和一种我们详细刻画的新型弦。我们的工具不限于这组超共形场论，可自然应用于更一般的理论，并允许我们研究通过部分弱耦合极限相关的超共形场论网络的插值模型。我们明确讨论了将结果推广到具有多个规范因子的大类理论甚至一些准共形规范理论的情况。
英文摘要
We study the appearance of universality classes in overall weak-coupling infinite-distance limits in the conformal manifold of 4d ${\cal N}=4,2,1$ superconformal gauge theories at large $N$ and their relation to the type of weakly-coupled emergent string in the AdS bulk dual using brane models. We focus on the complete set of theories with simple gauge group, and provide explicit Hanany-Witten constructions for each of them, including those that have non-Einstein bulk duals. This establishes that the three universality classes found in arXiv:2410.07309 are determined by the number of NS5-branes becoming coincident in a suitable double-scaling limit required to obtain the SCFT. Furthermore, all theories within a given universality class descend from the same parent theory by performing orbifold/orientifold projections (with possibly a small number of extra flavors), which are subleading effects at large $N$. This explains the origin of the universality classes from a CFT perspective. Moreover, we argue that theories in the same universality class share the same closed-string background -- generated by the double-scaled NS5-brane system -- in which the backreaction of D-branes is expected to generate the AdS throat holographically dual to the SCFT. We describe the corresponding worldsheet theories, and find that the three kinds of emergent tensionless strings correspond to the 10d type IIB string, a subcritical string previously studied in a related context, and a novel kind of string which we characterize in detail. Our tools are not limited to this set of SCFTs, but can be naturally applied to more general theories, and allow us to study interpolating models yielding a network of SCFTs related by partial weak-coupling limits. We explicitly discuss the generalization of our results to large classes of theories with more than one gauge factor and even to some quasi-conformal gauge theories.
Comments70 pages + appendix, 16 figures, many brane models
