什么是最简单的全息矩阵模型？
What is the simplest holographic matrix model?
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中文总结 AI 辅助
本文研究J. Hoppe提出的两矩阵模型的推广，在强耦合大N下揭示其涌现保面积微分同胚对称性并领头阶求解，得到n点连通关联函数的Witten图式展开，还探讨了对偶模型量子化及高维扩展与全息关联。
中文摘要 AI 辅助
我们研究J. Hoppe在1989年提出的两矩阵模型的推广形式。在强耦合和大N极限下，我们揭示了该模型具有涌现的保面积微分同胚对称性，这使我们能在领头阶完全求解它。所有n点连通关联函数的解，呈现为涌现二维对偶时空中类似Witten图的展开形式。最后我们对该对偶模型的量子化作了推测，并评论了其向更高维的扩展及与更广泛全息理论的关联。
英文摘要
We study a generalization of a two-matrix model proposed by J. Hoppe in '89. At strong coupling and large $N$, we unveil an emergent area preserving diffeomorphism symmetry of this model, which allows us to completely solve it at leading order. The solution for all $n$-point connected correlators takes the form of a Witten diagram-like expansion in an emergent two-dimensional dual spacetime. We conclude with speculations about the quantization of this dual model and comment on its extensions to higher dimensions and relations to holography more broadly.
