锥形流形上的偶然性
Fortuity on the conifold
浏览论文内容
中文总结 AI 辅助
本文在Klebanov-Witten理论中提出经典上同调问题，区分单调与偶然上同调，构造无穷多个偶然上同调并解释为毛黑洞态，同时指出ABJM中的广义单调性。
中文摘要 AI 辅助
为了研究典型$\mathcal{N}=1$ AdS$_5$/CFT$_4$模型中的BPS黑洞态，我们在Klebanov-Witten理论中提出了一个经典上同调问题，该理论定义在强耦合RG不动点上。我们在UV理论中建立了其弱耦合上同调问题，提出了一种关于单调和偶然上同调的精细概念，使得简单重子算符属于前者。我们在$SU(2)\times SU(2)$理论中构造了无穷多个偶然上同调，并将其中一些解释为带有重子凝聚的毛黑洞态的$N=2$版本。我们还评论了最近在ABJM中构造的偶然上同调表现出广义单调性。
英文摘要
To study the BPS black hole states in typical $\mathcal{N}=1$ AdS$_5$/CFT$_4$ models, we formulate a classical cohomology problem in the Klebanov-Witten theory, which is defined at a strongly coupled RG fixed point. We set up its weakly coupled cohomology problem in the UV theory, suggesting a refined notion of monotonous and fortuitous cohomologies so that simple baryonic operators belong to the former. We construct infinitely many fortuitous cohomologies in the $SU(2)\times SU(2)$ theory and interpret some of them as $N=2$ versions of hairy black hole states dressed by baryonic condensates. We also comment that the recently constructed fortuitous cohomologies in ABJM exhibit generalized monotonicity.
发表机构
- Korea Institute for Advanced Study（韩国高等研究院）
- The University of Tokyo（东京大学）
- Seoul National University（首尔国立大学）
机构由 AI 辅助整理，请以论文原文为准。
