论文标题
海森贝格自旋链和超对称仪理论
Heisenberg Spin Chain And Supersymmetric Gauge Theory
论文作者
论文摘要
我们展示了一个海森堡自旋链如何从二维$ {\ Mathcal n} $ =（2,2）仪表理论中的二维链条上以中等规模的形式出现，这依赖于以全球对称性和域壁动力学为指导的重归化组流量。通过将它们压缩为二维，对具有四个增压的高维规理论的讨论相似。而不是仅仅在文献中利用骨气领域，而是采用典型的自由度理论程度是我们建筑的关键一步。从自旋链的角度来看，我们观察到两个规格理论之间的seiberg（类似）二元性是显现的，因为它是封闭的自旋链中的有限对称性。基于此，我们进一步猜测具有相同全局对称性的理论可以统一为单个系统：海森贝格自旋链。至少，我们在中等程度上证明了这种猜想。最后，我们还对以海森伯格自旋链为中心的集成系统的其他配方进行评论。
We show how a Heisenberg spin chain emerges from the two-dimensional ${\mathcal N}$=(2,2) gauge theory at an intermediate scale, which relies on the renormalization group flow guided by the global symmetries and the dynamics of domain walls. The discussion of higher-dimensional gauge theories with four supercharges is similar by compactifying them into two dimensions. Instead of utilizing the bosonic fields solely in the literature, adopting the fermionic degrees of freedom of gauge theory is a crucial step in our construction. From the perspective of the spin chain, we observe that the Seiberg(-like) duality between two gauge theories is manifest since it is a finite symmetry in the closed spin chain. Based on this, we further conjecture gauge theories with the same global symmetries could be unified into a single system: the Heisenberg spin chain. At least, we prove this conjecture at the intermediate scale. Finally, we also comment on other formulations of an integrable system centered on the Heisenberg spin chain.
